Question

Use the pythagorean theorem to find the unknown side length. give lengths as simplified radicals.

Answer 1

x = square root 106

Explanation:

Hello ! :D

First, a piece of useful information:

The Pythagorean Theorem is L² + L² = H².

With that in mind, we need to substitute each number for our L's.

Updated equation:

5² + 9² = X²

Simplify:

25 + 81 = X²

Simplify (again):

106 = X²

`√(106)`

Thus, the answer is
`\boxed{\boxed{x = √(106)}}`.

Hope this helps!

-Sahkfam