 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
 | William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1918 - 232 pages
...= the other leg (in linear units). 17. Write the formula for the statement : The square of one leg of a right triangle is equal to the square of the hypotenuse minus the square of the other leg. (Use the same letters as in Ex. 16.) 18. The two legs of a right... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...a2 = q - c. By adding a2 + 62 = c (p + q), or a2 + ft2 = c2. QED 327. COR. The square of either arm of a right triangle is equal to the square of the hypotenuse, diminished by the square of the other arm. Ex. 922. Find the hypotenuse of a right triangle whose arms... | |
 | New York (N.Y.). Board of Education - American periodicals - 1955 - 764 pages
...exclusively. There is always opposition to new and progressive ideas. When Pythagoras discovered that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse, he was so overjoyed that he offered a hecatomb, or 100 oxen, in gratitude to the gods. Ever since,... | |
 | Winfield Paul Webber, Louis Clark Plant - Calculus - 1919 - 330 pages
...3.1416 approximately. 41. The area of a sphere equals 4ir times the square of its radius, (4 ят2). 42. The sum of the squares of the legs of a right triangle equals the square of the hypotenuse. 43. The altitude of a right triangle from the right angle is a... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...exercise in algebraic form and prove it. 1026. One-half the sum of the squares on the sum and difference of the legs of a right triangle is equal to the square on the hypotenuse . State and prove this exercise algebraically. d!027. Two similar parallelograms... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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.... | |
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