 The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 3. In a right triangle the square of either leg is equal to the square of the hypotenuse minus the square of the other...  Plane and Solid Geometry - Page 195by Clara Avis Hart, Daniel D. Feldman - 1912 - 488 pagesFull view - About this book
 | Webster Wells, Walter Wilson Hart - Arithmetic - 1919 - 384 pages
...equals the sum of the squares of the other two sides, then the square of one of the sides must equal the square of the hypotenuse minus the square of the other side. Solution- — 1. Let r = the length of the third side. 2. Then x* = 192 - 122 = 361 - 144 = 217. 3.... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...addition. 5. By factoring. 6. Obvious. AREAS 463. Corollary 1. The square of the length of either leg of a right triangle is equal to the square of the hypotenuse minus the square of the other leg. 464. Various methods of proving the Pythagorean theorem. There are approximately fifty different... | |
 | John Michael Christman - Machine-shop practice - 1922 - 408 pages
...XX PYTHAGOREAN THEOREM 146. The following is the proof that the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. This is called the Pythagorean theorem. Fig. 1 Fig. 187 In Fig. 187, the total area of Fig. 1 is equal... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...whole hypotenuse and the segment adjacent to that leg. THEOREM 110. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. THEOREM 111. If one side of a square is s,_its diagonal is W2 . If the diagonal of a square is d, the... | |
 | 1924 - 368 pages
...right triangle. From them we get these two important principles : The sum of the squares of the arms of a right triangle is equal to the square of the hypotenuse. The square of either arm is equal to the square of the hypotenuse minus the square of the other arm.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...given line. (HINT. aV2= V(2a) -a). PROPOSITION XXXV. THEOREM 326. The sum, of the squares of the arms of a right triangle is equal to the square of the hypotenuse. Given ABC a rt. A, having its rt. Z. at C. To prove a2 + 62 = c2. ' Proof. Draw CD _L AB, and denote... | |
 | College Entrance Examination Board - Mathematics - 1920 - 108 pages
...CONTINUED ON PAGE 8) simplest form: 8. a) Prove that the sum of the squares of the two perpendicular sides of a right triangle is equal to the square of the hypotenuse. b) The three sides of each of three triangles are given as follows: 17, 8, 15; 5, 14, 13; l,2, 1/3.... | |
 | Frank J. Swetz, T. I. Kao - Geometry - 1977 - 109 pages
...of the right triangle, thus demonstrating rather concretely that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse (see Fig. 1.1). The proof is aesthetically appealing and Bronowski's case for Pythagorean authorship... | |
 | Minas C. Kafatos - Philosophy - 1991 - 312 pages
...simple geometrical statement like Pythagoras' theorem — that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse — assumes a non-trivial form in curved space-time. Not only gravity but any other "force" manifests... | |
 | Cesare Emiliani - Science - 1992 - 740 pages
...PLANET EARTH: COSMOLOGY B Figure 5.1. (A) The Pythagorean theorem: The sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse (a* + t? = c?). (B) Demonstration of the Pythagorean theorem (see text). x2+y2-r x^ cos a y-sin a MEASURING... | |
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