Pythagorean theorem intro problems

Practice using the Pythagorean theorem to solve for missing side lengths on right triangles.  Each question is slightly more challenging than the previous. Created by Lindsay Spears.

Pythagorean theorem

The equation for the Pythagorean theorem is
a, start superscript, 2, end superscript, plus, b, start superscript, 2, end superscript, equals, c, start superscript, 2, end superscript
where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.
The hypotenuse is the longest side and is across from the right angle. The two legs are the shorter sides that form the right angle:
Want to learn more about the Pythagorean theorem? Check out this video.

Practice problems

Problem 1
Find the value of x in the triangle shown below.
Please choose from one of the following options.

Want more Pythagorean theorem practice? Check out this exercise.