Pythagorean Theorem Worksheets

Grade Levels
7th - 10th, Homeschool
Formats Included
  • PDF
14 pages
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In these three Common Core-aligned discovery worksheets, students will be able to use the Pythagorean Theorem to solve for a missing side of a right triangle, solve word problems involving right triangles, determine the distance between two points using the Pythagorean Theorem, and test for right triangles using the converse of the Pythagorean Theorem.


-3 two-page worksheets (with answer keys)

-Teacher's Guide with CCSS, objectives, materials, and procedure

Worksheet #1: Using the Pythagorean Theorem

Students will learn how to solve for a missing side of a right triangle using the Pythagorean Theorem. They will reflect on how they know which side is the hypotenuse. They will also use the Pythagorean Theorem to find missing side lengths of two-dimensional and three-dimensional geometric figures, and students will then use that information to determine measurement such as perimeter and surface area.

Worksheet #2: Pythagorean Theorem in the Real World

In this activity, students will understand how to draw pictorial representations of right triangles represented in word problems to help them write and solve equations using the Pythagorean Theorem. Then students will be able to determine the distance between two points using the Pythagorean Theorem by practicing with a basic problem and a multi-part word problem. Students may need to review the equation d=rt.

Worksheet #3: Pythagorean Theorem and its Converse

Students will identify if a set of three side lengths could form a right triangle by using the Pythagorean Theorem, and they will reflect on how they know which side length must be the hypotenuse. Then all previously mentioned ideas are reviewed with a practice problems.

This product is part of the Discovery-Based Worksheet Series. Discovery-Based Worksheets have been specially designed to engage students in learning that moves beyond traditional skills practice. Students will develop a deeper understanding of the big idea and will make connections between concepts. These worksheets make a great introduction to a new topic or summary at the end of a lesson or unit. Try one today!

You might also like:

Pythagorean Theorem Differentiated Notes and Practice

Converse of Pythagorean Theorem Differentiated Notes and Practice

Pythagorean Theorem Stations

Proving Pythagoras Right: Proving the Pythagorean Theorem

Thanksgiving: Applying the Pythagorean Theorem


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Copyright Information and Terms of Use:

The purchase of this product entitles a single user to reproduce the resource for classroom use only. A multiple license can be purchased if you wish to share with other teachers. The product is for educational use only. The product may not be used for commercial purposes or resold in any form. It cannot be uploaded to the Internet, including school websites.

© Free to Discover (Amanda Nix)

Total Pages
14 pages
Answer Key
Teaching Duration
3 days
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to see state-specific standards (only available in the US).
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.


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