Answer:
a = 12
Explanation:
Pythagorean theorem states that the the square value of hypotenuse is equal to the sum of the squares of two legs.
Now, according to this statement:
15² = 9² + a²
- Calculate the square values on both sides
225 = 81 + a²
- Subtract 81 from both sides
144 = a²
- Find the root of both sides
12 = a