...the sum of the squares of the other two sides; and that the length of either other side is equal to the square root of the difference of the squares of the hypotenuse and the known side. 3. Since the area of a circle equals TT X the square of the radius, it is evident that...

...square root of the sum of the squares of the other two sides. The base or the perpendicular equals the square root of the difference of the squares of the hypotenuse and the other side. This is one of the most important propositions of geometry. It is said to have been...

...the sum of the squares of the other two sides. 998. The base of a right-angled triangle is equal to the square root of the difference of the squares of the hypotenuse and altitude. 999. The altitude of a right-angled triangle is equal to the square root of the difference...

...difference of the squares of the hypotenuse and the base. We may also say that the base is equal to the square root of the difference of the squares of the hypotenuse and the altitude. 14.42 12 14.42 * 2884 24 5 768 12 57 68 144 2 144 207.9364 = 208 208 ~144 64 \/64 = 8'...

...By a similar derivation, a = V c2 — 62 That is, 148c. Rule : Either leg of a right triangle equals the square root of the difference of the squares of the hypotenuse and the other leg. EXERCISE 1. One leg of a triangle is 10 feet long and the other is 18 feet long. Find...

...feet. Solution. = V21 2 +28 2 = V44l+784 = Vl225 = 35feet. Either arm of a right triangle is equal to the square root of the difference of the squares of the hypotenuse and the other arm. aWc^F and b = Solution. V?.3 2 -4-8 2 = V53.29-23.04 = V30.25 = 5.5 inches The area...