Practice Pythagorean Theorem in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.

If you draw squares on each side of a right triangle, the two smaller squares fill the big one exactly.

Example 1

easy
A right triangle has legs of length 3 and 4. Find the hypotenuse.

Example 2

medium
A right triangle has a hypotenuse of 13 and one leg of length 5. Find the other leg.

Example 3

hard
A ladder 10 m long leans against a wall. The foot of the ladder is 6 m from the base of the wall. How high up the wall does the ladder reach?

Example 4

hard
A right triangle has legs of length x + 1 and x + 8, and hypotenuse 13. Find x.