| 单词 | hypotenuse |
| 例句 | My head is full of isosceles triangles and hypotenuses and formulas. The Queen of Water 1996-01-01T00:00:00Z In modern schools, children learn of Pythagoras for his famed theorem: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Two plus two always equals four; the square on the hypotenuse is always equal to the sum of the squares of the other two sides. The Invention of Science 2015-09-17T00:00:00Z The mother and the father were two independent sides and the child was the third—the biological hypotenuse to the parents’ two lines. The Gene 2016-06-02T00:00:00Z Ms. Teller says "perpendicular" and "hypotenuse" like her life depends on it. Patina 2017-08-29T00:00:00Z “The square of the hypotenuse is equal to the sum of the squares of the other two sides.” The Book of Dust: La Belle Sauvage 2017-10-19T00:00:00Z In the Meno Socrates persuaded an uneducated slave boy that he already knew that the square on the hypotenuse is equal to the sum of the squares of the other two sides. The Invention of Science 2015-09-17T00:00:00Z No one is ever going to ask you about a hypotenuse when you get out of school. From Fonzie to Cousineau, Henry Winkler shares his 50-year acting secret: "Cool is authenticity" 2023-05-21T04:00:00Z So could you talk about the hypotenuse of a triangle? From Fonzie to Cousineau, Henry Winkler shares his 50-year acting secret: "Cool is authenticity" 2023-05-21T04:00:00Z When Jack labels compromise as “the shared hypotenuse of the Conjoined Triangles of Success,” there’s no reason to believe the show’s creators disagree with him. ‘Silicon Valley’ Season 3, Episode 4: Irrepressible Genius 2016-05-15T04:00:00Z Eight times each week, the writer and actress Zawe Ashton stays sane portraying a love triangle’s hypotenuse in Harold Pinter’s “Betrayal.” 13 Plays and Musicals to Go to in N.Y.C. This Weekend 2019-10-10T04:00:00Z The games and displays are so attractive and such fun that the kids bounced from one to the next, not always fully taking in the sines and cosines, the vectors and hypotenuses. Hands-On Math Lessons (No Homework Required) 2013-08-29T21:33:42Z Already the shortest distance between two points and the hypotenuse of a square. The Critic Who Convinced Me That Criticism Could Be Art 2016-09-21T04:00:00Z Nor does O, the movie’s narrator and the hypotenuse of a happily triangular domestic ménage. | 'Savages': Review: ‘Savages,’ Oliver Stone’s Adaptation of Don Winslow’s Novel 2012-07-05T16:02:31Z The hypotenuse of that triangle then has the length √2. These Are the Most Bizarre Numbers in the Universe 2023-05-23T04:00:00Z The quantity c is the length of the longest side, called the hypotenuse. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z Its strangeness lay in how Leonardo’s sketch showed an adjoining pitcher and, pouring from its spout, a series of circles that formed the triangle’s hypotenuse. A Doodle Reveals da Vinci’s Early Deconstruction of Gravity 2023-02-17T05:00:00Z The triangle, it must be said, is beautifully balanced, but Groff for me is the emotional hypotenuse of a production that I can’t wait to see again after it moves to Broadway in the fall. Commentary: What a difference a revival makes: Two famously tricky Sondheim musicals shine in new outings 2023-01-05T05:00:00Z The numbers 3 and 4 represent the measurements of each leg of a right triangle in which 5 is the length of the hypotenuse. A builder’s guide to squaring anything (and the math behind it) 2022-12-12T05:00:00Z Figure 3.4 The Pythagorean theorem relates the length of the legs of a right triangle, labeled a and b , with the hypotenuse, labeled c . College Physics for AP Courses 2015-08-12T00:00:00Z The hypotenuse will reach diagonally between these two sides. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z Two adjacent edges and the diagonal of the face form a right triangle, with the length of each side equal to 558.8 pm and the length of the hypotenuse equal to four Ca atomic radii: Chemistry 2019-02-14T00:00:00Z Could Pythagoras have learned, rather than discovered, the “Pythagorean” theorem—the law of relationships between the sides and hypotenuse of a right triangle—in Egypt? Introduction to Philosophy 2022-06-15T00:00:00Z It represents the hypotenuse of the right triangle. A builder’s guide to squaring anything (and the math behind it) 2022-12-12T05:00:00Z The length of the hypotenuse is one more than the length of the other leg. Intermediate Algebra 2020-05-06T00:00:00Z Now measure the angle between the hypotenuse and the table. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z Find the lengths of the hypotenuse and the other leg. Elementary Algebra 2020-04-22T00:00:00Z When a right triangle with a hypotenuse of 1 is placed in the unit circle, which sides of the triangle correspond to the x- and y-coordinates? Precalculus 2021-12-01T00:00:00Z Figure 2.13 If you use the components of a vector to define a right triangle, the magnitude of the vector is the length of the triangle’s hypotenuse. Calculus, Volume 3 2016-03-30T00:00:00Z The hypotenuse is 8 feet more than the leg along the barn. Intermediate Algebra 2020-05-06T00:00:00Z Mathematicians define the sine of this angle as the height of the vertical side divided by the length of the hypotenuse. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z The hypotenuse of the right triangle formed by the rubber band represents a line whose slope is 1 . Elementary Algebra 2020-04-22T00:00:00Z A common mnemonic for remembering these relationships is SohCahToa, formed from the first letters of “Sine is opposite over hypotenuse, Cosine is adjacent over hypotenuse, Tangent is opposite over adjacent.” Precalculus 2021-12-01T00:00:00Z Figure 2.15 The components of a vector form the legs of a right triangle, with the vector as the hypotenuse. Calculus, Volume 3 2016-03-30T00:00:00Z The hypotenuse of the two triangles is three inches longer than a side of the flag. Intermediate Algebra 2020-05-06T00:00:00Z The cosine of this angle is the length of the horizontal side divided by the hypotenuse. 2 High School Students Prove Pythagorean Theorem. Here's What That Means 2023-04-10T04:00:00Z If the hypotenuse is 15 feet, find the lengths of the two legs. Elementary Algebra 2020-04-22T00:00:00Z This line segment forms a right triangle with hypotenuse length a and leg lengths b and c. Calculus, Vol 2 2016-03-30T00:00:00Z The length of the hypotenuse is r and θ is the measure of the angle formed by the positive x-axis and the hypotenuse. Calculus, Volume 3 2016-03-30T00:00:00Z Find the length of the hypotenuse of a right triangle whose legs are 12 and 16 inches. Intermediate Algebra 2020-05-06T00:00:00Z Let A be the length of the adjacent leg, O be the length of the opposite leg, and H be the length of the hypotenuse. Calculus, Volume 1 2016-03-30T00:00:00Z The hypotenuse of a right triangle is 10 cm long. Elementary Algebra 2020-04-22T00:00:00Z The Pythagorean Theorem, is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. Algebra and Trigonometry 2015-02-13T00:00:00Z Caught between desire and denial, Sara becomes the hypotenuse of a full-blown romantic triangle. Review: Thorny and unabashedly sexy, Claire Denis’ ‘Both Sides of the Blade’ cuts deep 2022-07-07T04:00:00Z We then take it one step further and use the Pythagorean Theorem to find the length of the hypotenuse of the triangle—which is the distance between the points. Intermediate Algebra 2020-05-06T00:00:00Z Recall that sec θ is the ratio of the length of the hypotenuse to the length of the adjacent side. Calculus, Volume 1 2016-03-30T00:00:00Z The hypotenuse of the mosaic is 5 feet. Elementary Algebra 2020-04-22T00:00:00Z Now, we can evaluate the sine of the angle as the opposite side divided by the hypotenuse. Algebra and Trigonometry 2015-02-13T00:00:00Z This formula states that the square of a right triangle’s hypotenuse equals the sum of the squared lengths of the two remaining sides. World History: Patterns of Interaction 2012-01-01T00:00:00Z In the following exercises, use the Pythagorean Theorem to find the length of the hypotenuse. Intermediate Algebra 2020-05-06T00:00:00Z In middle school I learned how to solve for the hypotenuse and identify properties of an atom, but the most enduring skill I picked up was how to gossip. Letter of Recommendation: Gossip 2021-06-29T04:00:00Z The length of the hypotenuse is one more than the length of one of the other legs. Elementary Algebra 2020-04-22T00:00:00Z The hypotenuse is the side of the triangle opposite the right angle, 1. Algebra and Trigonometry 2015-02-13T00:00:00Z “On the Rocks” might have been an intriguing emotional triangle between two men competing for the respect and affection of the woman they both adore, but this one is missing its hypotenuse. Review | ‘On the Rocks’ has all the right ingredients: Bill Murray, Rashida Jones, Sofia Coppola. But it’s a flavorless dish. 2020-10-06T04:00:00Z The building side is 8 feet, the hypotenuse is 17 feet, and the third side is 15 feet. Intermediate Algebra 2020-05-06T00:00:00Z The man addressed me over the cliff of his shoulder—talked down to me in the same condescending way Mister Hughes explained polynomials and hypotenuses. “Found Wanting” 2020-01-06T05:00:00Z A pennant is shaped like a right triangle, with hypotenuse 10 feet. Elementary Algebra 2020-04-22T00:00:00Z TRY IT #5 A right triangle has one angle of and a hypotenuse of 20. Algebra and Trigonometry 2015-02-13T00:00:00Z Milwaukee is not the only hypotenuse in Chicago. In Praise of Chicago’s Hypotenuses 2019-09-07T04:00:00Z The flag for the letter, O consists of a yellow right triangle and a red right triangle which are sewn together along their hypotenuse to form a square. Intermediate Algebra 2020-05-06T00:00:00Z Early mathematicians recognized that when three squares occurred in arithmetic progression this way, the square root of the middle number — in this case, 5 — is the hypotenuse of the right triangle. 1,000 Years of Congruent Numbers 2019-07-13T04:00:00Z The hypotenuse is 9 feet longer than the side along the building. Elementary Algebra 2020-04-22T00:00:00Z When a right triangle with a hypotenuse of 1 is placed in a circle of radius 1, which sides of the triangle correspond to the x- and y-coordinates? Algebra and Trigonometry 2015-02-13T00:00:00Z The next time you're in Chicago, after you've enjoyed the fantastic food, striking architecture, and beautiful lake, a long walk might help you appreciate the city's hypotenuses. In Praise of Chicago’s Hypotenuses 2019-09-07T04:00:00Z It’s one of the most famous theorems, and it states that in a right triangle with legs of lengths a and b and a hypotenuse of length c, a2+b2=c2. Five Reasons to Love the Pythagorean Theorem 2019-04-06T04:00:00Z Understanding all the relationships between different trig functions and different types of angles is vastly simplified by setting the hypotenuse of all the right triangles equal to 1 and placing them inside a circle. A Few of My Favorite Spaces: The 1-Dimensional Sphere 2017-10-07T04:00:00Z The side of the triangle opposite the 90° angle is called the hypotenuse and each of the other sides are called legs. Elementary Algebra 2020-04-22T00:00:00Z We can use the sine to find the hypotenuse. Algebra and Trigonometry 2015-02-13T00:00:00Z From his perch, Paddock was firing down the hypotenuse of a right triangle and would have to adjust his aim for the arc of the bullet — a skill that would require training. From the 32nd floor, Stephen Paddock became a killing machine, showing the power of a sniper 2017-10-05T04:00:00Z Specifically, check out this magnificent hypotenuse run by Ben Watson, which thwarted Champ Bailey's attempted 99-yard touchdown after interception. Five Reasons to Love the Pythagorean Theorem 2019-04-06T04:00:00Z Now you don’t have to worry about anything when you divide the side length by the length of the hypotenuse because the hypotenuse is 1 unit long. A Few of My Favorite Spaces: The 1-Dimensional Sphere 2017-10-07T04:00:00Z It states that in any right triangle, the sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse. Elementary Algebra 2020-04-22T00:00:00Z For the given right triangle, label the adjacent side, opposite side, and hypotenuse for the indicated angle. Algebra and Trigonometry 2015-02-13T00:00:00Z Instead, each entry includes information on two sides of a right triangle: the ratio of the short side to the long side and the ratio of the short side to the diagonal, or hypotenuse. This ancient Babylonian tablet may contain the first evidence of trigonometry 2017-08-24T04:00:00Z Robinson, watching on television, called it “the hypotenuse of the triangle.” A kidnapped trainer, an orphaned colt and the chance of a lifetime at the Kentucky Derby 2017-05-01T04:00:00Z “We’ll measure off the hypotenuse, using the corner as the starting point, just as you would with one of those little compasses with the sharp point and pencil,” I said. Take 2: My cock-eyed soccer field and teacher appreciation, a few years too late 2016-05-03T04:00:00Z Use the Pythagorean Theorem to find the length of the hypotenuse shown below. Elementary Algebra 2020-04-22T00:00:00Z Use the Pythagorean Theorem to find the length of the hypotenuse: Algebra and Trigonometry 2015-02-13T00:00:00Z And, Jackson said, just as the triangle helped Jordan thrive, Jordan was the hypotenuse, completing the system. The Obtuse Triangle 2015-06-23T04:00:00Z Another basket achieved subtle volume when Fraser aligned the hypotenuse of one right triangle with the leg of the right triangle next to it. Craftsman takes textile art in new directions 2014-09-20T04:00:00Z If the theorem is correct, he said, they’d be able to predict the number of glowsticks used on the hypotenuse by counting those used on the other two sides. Glow Sticks Prove the Math Theorem behind the Famous Flatiron Building 2013-12-11T19:45:02.464Z The hypotenuse of the right triangle formed by the rubber band represents a line whose slope is −1 . Elementary Algebra 2020-04-22T00:00:00Z We see that we to need to find and Based on Figure 2, we see that the hypotenuse equals 5, so and Substitute these values into the equation, and simplify. Algebra and Trigonometry 2015-02-13T00:00:00Z The square of the hypotenuse, the longest side, is equal to the sum of the squares on the other two sides, or more familiarly, a2+b=c. A Presidential Pythagorean Proof 2012-11-19T14:45:05.177Z As people get off, the square becomes a triangle, then the triangle become a hypotenuse, each remaining passenger reshuffling to provide maximum space and privacy for the others. Seat's Taken! A Study of Antisocial Traveler Behavior 2012-08-02T16:05:34Z The area of a right triangle is 150 square feet, and its hypotenuse is 25 feet. A Review of Algebra 2012-01-11T03:00:29.300Z The triangular deck is a right triangle, with legs of length 9 feet and 11 feet, and the pool will be adjacent to the hypotenuse. Elementary Algebra 2020-04-22T00:00:00Z An easy way to remember the equations above is to think of as the adjacent side over the hypotenuse and as the opposite side over the hypotenuse. Algebra and Trigonometry 2015-02-13T00:00:00Z The perpendicular is the mean proportional between the segments of the hypotenuse. The Teaching of Geometry 2011-10-12T02:00:52.133Z Pythagoras, as we all learnt in youth, discovered the proposition that the sum of the squares on the sides of a right-angled triangle is equal to the square on the hypotenuse. Our Knowledge of the External World as a Field for Scientific Method in Philosophy 2011-08-16T02:00:44.423Z An orthogonal triangle is thus formed, of which we have the right line, but the base and hypotenuse to them seems the vertical line, as in this figure it will appear. The Letters of Amerigo Vespucci and other documents illustrative of his career 2011-08-02T02:00:24.457Z The other leg of the triangle will measure 2 feet and the hypotenuse will be 5 feet. Elementary Algebra 2020-04-22T00:00:00Z Using the Pythagorean Theorem, we find the hypotenuse to be 17. Algebra and Trigonometry 2015-02-13T00:00:00Z It follows from this corollary, as the pupil has already found, that the mid-point of the hypotenuse of a right triangle is equidistant from the three vertices. The Teaching of Geometry 2011-10-12T02:00:52.133Z Is a triangular shaped town, the hypotenuse being formed by the Mississippi river. Fifty Years In The Northwest With An Introduction And Appendix Containing Reminiscences, Incidents And Notes 2011-06-13T02:00:27.317Z One week later he decided that he should have cupped his hands and shouted, "You hypotenuse hussy!" The Boy Grew Older 2011-05-10T02:01:01.027Z Find the length of the hypotenuse of a right triangle with legs 5 inches and 12 inches. Elementary Algebra 2020-04-22T00:00:00Z Figure 12 A right triangle with two sides known Using the Pythagorean Theorem, we can find the hypotenuse of this triangle. Algebra and Trigonometry 2015-02-13T00:00:00Z If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse: 1. The Teaching of Geometry 2011-10-12T02:00:52.133Z No tablet bears the well-known algebraic equation, that the squares of the two smaller sides of a right-angled triangle equal the square of the hypotenuse. An Exhibition That Gets to the (Square) Root of Sumerian Math 2010-11-22T22:35:00Z A hypotenuse, as has been well said, is the longest side of a right-angled triangle. Bransford of Rainbow Range Originally Published under the title of Bransford in Arcadia, or, The Little Eohippus The Pythagorean Theorem gives the relation between the legs and hypotenuse of a right triangle. Elementary Algebra 2020-04-22T00:00:00Z Rick took the man's legs and pulled them backward so that the shadow's whole weight was against his hands, his outstretched body forming the hypotenuse of a right triangle. The Wailing Octopus Each of the other sides is the mean proportional between the hypotenuse and the segment of the hypotenuse adjacent to that side. The Teaching of Geometry 2011-10-12T02:00:52.133Z For instance, any courses you sail like these will be the hypotenuses of a series of right-angled triangles. Lectures in Navigation That triangle contains one of the perpendiculars of three, the base of four, and the hypotenuse of five parts, the square of which is equal to the squares of those sides containing the right angle. Science and the Infinite or Through a Window in the Blank Wall The hypotenuse of a right triangle is twice the length of one of its legs. Elementary Algebra 2020-04-22T00:00:00Z "That the square of the hypotenuse is equal to the squares of the two sides" is a proposition which expresses a relation between these figures. The World's Greatest Books — Volume 14 — Philosophy and Economics A somewhat similar proof can be based upon the following figure: If the four triangles, 1 + 2 + 3 + 4, are taken away, there remains the square on the hypotenuse. The Teaching of Geometry 2011-10-12T02:00:52.133Z Large spaced drops plumbed a gleaming hypotenuse between the rooftops and the streets. Erik Dorn I. 47 that the square on the hypotenuse of any right-angled triangle is equal to the sum of the squares on the other two sides. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield The flag for the letter O consists of a yellow right triangle and a red right triangle which are sewn together along their hypotenuse to form a square. Elementary Algebra 2020-04-22T00:00:00Z “I fell in a slanting direction, your highness, describing the hypotenuse between the base and perpendicular, created by the force of the wind, and the attraction of gravitation.” The Pacha of Many Tales Therefore the square on the hypotenuse must equal the sum of these two squares. The Teaching of Geometry 2011-10-12T02:00:52.133Z I am personally acquainted with the hypotenuses of a good many mountains, and there is no use trying to pretend that they are bases. Tenting To-night A Chronicle of Sport and Adventure in Glacier Park and the Cascade Mountains Boys who have studied geometry know that "in a right-angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides." Outdoor Sports and Games To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. Elementary Algebra 2020-04-22T00:00:00Z If I keep on I won't even be able to remember that 'the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.' Grace Harlowe's Sophomore Year at High School The Record of the Girl Chums in Work and Athletics If we take away the other two triangles instead, we have left the square on the hypotenuse. The Teaching of Geometry 2011-10-12T02:00:52.133Z "I fell in a slanting direction, your highness, describing the hypotenuse between the base and perpendicular, created by the force of the wind, and the attraction of gravitation." The Pacha of Many Tales She viewed the approaching squadron as though looking down the hypotenuse of the angle. The Brighton Boys with the Submarine Fleet The length of the hypotenuse is 340 feet and the leg is 160 feet. Elementary Algebra 2020-04-22T00:00:00Z Miss Shongut slanted deeper until her slim body was a direct hypotenuse to the chair. Every Soul Hath Its Song Two right triangles are congruent if the hypotenuse and a side of the one are equal respectively to the hypotenuse and a side of the other. The Teaching of Geometry 2011-10-12T02:00:52.133Z The right-angled triangle still has an hypotenuse, and quadratics do not simplify with distance, while Tamil classics throw Vergil and Cicero into the shade. Lighted to Lighten: the Hope of India You cannot write a text-book of geometry without reference to a hypotenuse and triangles and a rectangular parallelopiped. The Story of Mankind The Baron wilted to a mock swoon, his little legs stiffening at a hypotenuse. Humoresque A Laugh on Life with a Tear Behind It The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, because he made it so. The Evolution of Man Scientifically Disproved In 50 Arguments Two right triangles are congruent if the hypotenuse and an adjacent angle of the one are equal respectively to the hypotenuse and an adjacent angle of the other. The Teaching of Geometry 2011-10-12T02:00:52.133Z A spotlight shoots its long hypotenuse upon the floor. A Thousand and One Afternoons in Chicago His last words were in the form of a question, addressed to Mike, on the subject of the hypotenuse and the square upon the same. Psmith in the City You would not write your name in pencil across the hypotenuse of a right-angled triangle. A Portrait of the Artist as a Young Man A, walking from corner to corner, may be said to diangulate the hypotenuse of the meadow. My Discovery of England The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z The most famous discovery of Pythagoras in this field was that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other sides of the triangle. A History of Science — Volume 1 So, upon the coming of Nevada Warren, she and Gilbert and Barbara Ross lined up into such a figurative triangle; and of that triangle Barbara formed the hypotenuse. Options —No, said Lynch, give me the hypotenuse of the Venus of Praxiteles. A Portrait of the Artist as a Young Man The first will be the simplest and smallest construction, and its element is that triangle which has its hypotenuse twice the lesser side. Timaeus It usually takes a hypotenuse a long time to discover that it is the longest side of a triangle. Options He left it to his family as part of his estate, the rest of which consisted of two mules and a hypotenuse of non-arable land. Options |
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