Question

Find The length of one leg of a right triangle if the length of the hypotenuse is 18 feet and the length of the other leg is 14 feet. Leave your answer as a simplified radical.

Answer 1

a = 8√2

Explanation:

a² + b² = c²

a² +14² = 18²

a² + 196 = 324

Subtract 196 from both side

a² = 128

Take the square root of both sides

a = √128

a = √(64 * 2)

a = 8√2