Let's work through the problems on your worksheet using the Pythagorean Theorem.

The Pythagorean Theorem is: $a^2 + b^2 = c^2$ where $a$ and $b$ are the legs of a right triangle, and $c$ is the hypotenuse (the side opposite the right angle).

1. Solve for the missing side length. Both answers will be whole numbers.

a) Solve for $x$:

We are given the two legs: 5 and 12.

Using the Pythagorean Theorem: $5^2 + x^2 = 12^2$ $25 + x^2 = 144$ $x^2 = 144 - 25 = 119$ So, $x = \sqrt{119}$.

b) Solve for $x$