Pythagorean Theorem Worksheet and Solutions

Related Topics & Worksheets:
Pythagorean Theorem

Objective: I know how to use the Pythagorean theorem to find the length of a missing side of a right triangle.

Share this page to Google Classroom

If we take the length of the hypotenuse to be c and the length of the legs to be a and b then the Pythagorean theorem tells us that:

c2 = a2 + b2

right triangle

Read the lesson on Pythagorean theorem for more information and examples.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
For each of the following, find the length of the unknown side. (Refer to the above triangle)
Round to the nearest hundredths when necessary.

a = 9, b = 12, c =

a = 15, b = 8, c =

b = 12, c = 13, a =

a = 7, c = 25, b =

a = 40, c = 41, b =

a = 21, b = 20, c =

a = 35, c = 37, b =

a = 11, c = 61, b =

a = 28, c = 53, b =

a = 33, b = 56, c =

a = 6.7, b = 5.5, c =

c = 9.4, a = 4.6, b =

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.