Pythagorean Theorem Worksheets

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Our Pythagorean theorem worksheets include exercises on identifying Pythagorean triples, finding the hypotenuse of a right triangle, and applying the converse theorem to determine if a triangle is right-angled, among others! Explore the charts and solve the exercises, which come with answer keys. Start working on our free worksheets now!

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Pythagorean Theorem Charts

Explore our Pythagorean theorem charts that explain the relationship between the theorem and the Pythagorean equation. These charts help familiarize learners with Pythagorean triplets and the three positive integers.

Pythagorean Triples

Use this set of Pythagorean triples worksheets to identify which sets of three positive integers satisfy the Pythagorean equation a2 + b2 = c2.

Pythagorean Triples - Customary

Finding the Length of a Line Segment Using Pythagorean Theorem

Apply the Pythagorean theorem to calculate the length of each line segment and verify the answer using the distance formula. Round the calculated length to the nearest tenth as instructed.

Finding the Length of a Line Segment Using Pythagorean Theorem - Customary

Converse of the Pythagorean Theorem

Access our converse of the Pythagorean theorem pdfs to develop proficiency in determining whether a triangle, based on the given side lengths, is a right triangle. Additionally, solve word problems for further practice.

Converse of the Pythagorean Theorem - Customary

Finding the Hypotenuse

Find the squares of the legs, add them together, and take the square root of the sum to determine the length of the hypotenuse in these pdf practice sheets.

Finding the Hypotenuse - Customary

Finding the Unknown Side Lengths in Right Triangles

Grade 7, Grade 8, and high school students can use our printable Pythagorean Theorem worksheets to practice finding unknown side lengths in right triangles. Apply the equation c2 = a2 + b2 and solve.

Finding the Unknown Side Lengths in Right Triangles - Customary

Pythagorean Theorem Word Problems

This collection of word problem worksheets allows learners to apply the Pythagorean theorem in everyday life. Use them to solve for the missing dimensions.

Pythagorean Theorem Word Problems - Customary

Finding the Length of the Diagonal of a Rectangle

Do you see two right triangles on a rectangle? Discern the diagonal of a rectangle as the hypotenuse of a right triangle, thereby applying the Pythagorean formula to work out the diagonal length.

Finding the Length of the Diagonal of a Rectangle - Customary

Finding the Area of Right Triangles | Pythagorean Theorem

Explore the area of right triangles with these practice sheets. Substitute the hypotenuse and known leg in the Pythagorean theorem to find the other leg and figure out the area of the right triangle.

Finding the Area of Right Triangles - Pythagorean Theorem - Customary