Pythagorean Theorem Practice Problems with Answers
There are eight (8) problems here about the Pythagorean Theorem for you to work on. When you do something a lot, you get better at it. Let’s get started!
Here’s the Pythagorean Theorem formula for your quick reference.

Note: drawings not to scale
Problem 1: Find the value of x in the right triangle.

Answer
10
Problem 2: Find the value of x in the right triangle.

Answer
4\sqrt 7
Problem 3: Find the value of x in the right triangle.

Answer
3
Problem 4: The legs of a right triangle are 5 and 12. What is the length of the hypotenuse?
Answer
13
Problem 5: The leg of a right triangle is 8 and its hypotenuse is 17. What is the measure of its other leg?
Answer
15
Problem 6: Suppose the shorter leg of a right triangle is \sqrt 2. The longer leg is twice the shorter leg. Find the hypotenuse.
Answer
\sqrt {10}
Problem 7: The hypotenuse of a right triangle is 4\sqrt 2. If the longest leg is half the hypotenuse, what is the length of the shortest leg?
Answer
2\sqrt 6
Problem 8: Find the value of x of the right isosceles triangle.

Answer
\sqrt 6
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