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

Answer:
x = square root 106
Step-by-step 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
[tex]\sqrt{106}[/tex]
Thus, the answer is [tex]\boxed{\boxed{x = \sqrt{106}}}[/tex].
Hope this helps!
-Sahkfam