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The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
Plane Geometry - Page 166
by Webster Wells, Walter Wilson Hart - 1915 - 309 pages

A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...BF± to AC. Then AJ? = ACxAF §334 and BC* = ACx CF By adding, ZS2 + £C* = AC(AF+ CF) = AC\ a ED 339. COR. The square of either leg of a right triangle is equal to the difference of the squares of the hypotenuse and the other kg. 340. SCHOLIUM. The ratio of the diagonal...

A Text-book of Geometry

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....

An Examination Manual in Plane Geometry

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...

Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...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 the hypotenuse and the other leg. 342. In any triangle, the square of...

Elements of Analytic Geometry

Joseph Johnston Hardy - Geometry, Analytic - 1897 - 398 pages
...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 and the other leg. 28. The area of a rectangle is equal...

A Text-book of Physics

George Albert Wentworth, George Anthony Hill - Physics - 1898 - 456 pages
...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...

Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...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 and the square of the other leg. 381. If from a point without...

Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...Thea and AC* = ABX AF, OB* = ABx BF. By adding, AC* + CB* = AB(AF + BF) = AB\ § 367 QED 372. COR. 1. The square of either leg of a right triangle is equal to the difference of the square of the hypotenuse and the square of the other leg. 373. COR. 2. The diagonal...