Question

The hypotenuse of a triangle is 15 feet long. The longer of the two legs is three feet

longer than the other. Find the length of the shorter leg.

Answer 1

The shorter leg is approximately 10.54 feet.

Explanation:

a²+b² = c² (Where c is the hypotenuse, a is the longer leg and b is the shorter leg)

3 + b² + b² = 15²

3 + 2b² = 225

2b² = 222

b² = 111

b = √111 ≅ 10.54