Question

If the length of one leg of a right triangle is 8 and the hypotenuse is 113−−−√, what is the length of the other leg?

Answer 1

7

Explanation:

The Pythagorean theorem tells you the sum of the squares of the legs is equal to the square of the hypotenuse. If x represents the unknown leg, this means ...

x² +8² = (√113)²

x² = 113 -64 = 49 . . . . subtract 8²

x = √49 = 7 . . . . . . . . take the square root

The length of the other leg is 7.