Answer: 42 feet.
Step-by-step explanation:
Let's call the shorter side: x
Based on the information given in the problem, you know that:
Longer side:
Hypotenuse:
- Apply the Pythagorean Theorem:
Where<em> a</em> is the hypotenuse and <em>b</em> and <em>c</em> are the legs.
- Substitute values. Therefore, you obtain:
- Solve for x. Keep on mind that:
Then:
Therefore, the length of the shorter leg is 42 feet.