# 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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