 The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse: a2 + b2 = c2.  Solid Geometry - Page 195by Mabel Sykes, Clarence Elmer Comstock - 1922 - 218 pagesFull view - About this book
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...opposite corresponding equal angles. PROPOSITION XVI. THEOREM. \/ 338. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Let AEC be a right triangle with its right angle at B. To prove AB* + W = AC\ Proof. Draw BF_L to AC.... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...triangle is a mean proportional between the hypotenuse and the segment adjacent to the leg. 232. Theorem. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. 233. Theorem. If two chords intersect, the product of the two parts of one is equal to the product... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...leg of the triangle. (See note, Art. 205.) SUG. 2. What is the ratio of the squares found ? Ex. 156. The sum of the squares of the legs of a right triangle equals the square of the hypotenuse. SUG. 1. See Sug. 1, of Ex. 155. SUG. 2. Add the squares. Ex. 157.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...proportional between the diameter and the adjacent segment. 338. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 339. Cor. The square of either leg of a right triangle is equal to the difference of the squares of... | |
 | Joseph Johnston Hardy - Geometry, Analytic - 1897 - 398 pages
...respectively parallel, or respectively perpendicular, they are similar. 26. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 27. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse... | |
 | George Albert Wentworth, George Anthony Hill - Physics - 1898 - 456 pages
...each. 3. Two right triangles are equal, if they have equal hypotenuses and one pair of equal legs. 4. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. In the figure, a and 6 are the legs, c is the hypotenuse, and a2 + b'i — c2. A 6 C 5. Two triangles... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...segment. BOOK IIL PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 371. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. Let ABC be a right triangle with its right angle at C. To prove that AC* + CB* — Alf. Proof. Di-aw... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...segment. BOOK IIL PLANE GEOMETRY. PROPOSITION XXVIII. THEOREM. 371. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. B Let ABC be a right triangle with its right angle at C. To prove that ~AC* + ~CJ? = AB*. Proof. Draw... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...proportional between the diameter and the adjacent segment. 371. The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. 372. The square of either leg of a right triangle is equal to the difference of the square of the hypotenuse... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...(Hint, a V2 = 146 SIMILAR POLYGONS PROPOSITION XXXII. THEOREM 310. TJie sum of the squares of the arms of a right triangle is equal to the square of the hypotenuse. (307) (262) ADC Hyp. ABC is a rt. A, having its rt. Z at B. To prove AJ? + BC2 = AC\ Proof. Draw BD-LAC.... | |
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