Question

Solution

We can start with the pythagorean theorem:
(leg 1)² + (leg 2)² = (hypotenuse)²
Substitute the values we know.
15² + x² = 32²
Solve for x.
X =

Answer 1

28.26658805 (I included every digit in case your teacher needs you to round)

Explanation:

In order to find x, we need to isolate x by subtracting 15^2 and taking the square root of both sides.

Thus, we have:

`15^2+x^2=32^2\\x^2=32^2-15^2\\√(x^2) =√((32^2-15^2)) \\√(x^2)=√(799) \\x=28.26658805`