 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...  General Mathematics - Page 368by Raleigh Schorling, William David Reeve - 1922Full view - About this book
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...square of AB, or A~B ' . AB ' = S + S' Cor. I.— The square of either side about J> the right angle is equal to the square of the hypotenuse minus the square of the other side. For, as just proved, j h-~ ft 2 = a 2 , anc ( A ' - « ' = ft ' ; or, For, But h- = « ' + ft... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...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.... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...squares of the other two sides. COROLLARY. The square described on either side forming the right angle is equal to the square of the hypotenuse minus the square of the other side. Proposition XII. A Problem. Proposition XIII. A Problem. 248. To construct a square equal to... | |
 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...squares of the other two - sides. COROLLARY. The square described on either side forming the right angle is equal to the square of the hypotenuse minus the square of the other side. Proposition XII. A Problem. 247. To construct a square equal to the sum of two given squares.... | |
 | Webster Wells - Arithmetic - 1893 - 382 pages
...It follows from the above that In a right triangle, the square of either side about the right angle is equal to the square of the hypotenuse, minus the square of the other side. EXAMPLES. 228. 1. The sides about the right angle of a right triangle are 5 in. and 1 ft., respectively;... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...= AIJ* — BC*. and BC* = AB* — ~A~C*. That is, in nny riffht trinngle, the square of either leg is equal to the square of the hypotenuse, minus the square of the other leg. 275. COR. II. If AC is a diagonal of the square ABCD, we have AC* = AB* + BC* = AB* + AB* = 2AB*. Dividing... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...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... | |
 | Joe Garner Estill - 1896 - 186 pages
...a in terms of its sides. FIG. 7. s (1) 7/2 = (? — B ~D 2 . (The square of either leg of a right A is equal to the square of the hypotenuse minus the square of the other leg.) = a 2 + c 2 x BD ' The square of the side opposite the acute / of a A is equal to the sum of the squares... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...altitude of a A in terms of its sides. (1) A2 = c8 — B Dz. (The square of either leg of a right A is equal to the square of the hypotenuse minus the square of the other leg.) = aa + c2 - 2a x BD The square of the side opposite the acute / of a /\ is equal to the sum of the... | |
 | 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... | |
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