Related Topics:

Math Worksheets according to Topics

More Grade 7 Math Lessons

Grade 7 Math Worksheets

Printable “Triangle” worksheets.

Triangle Sum Theorem

Exterior Angle Theorem

Area of Triangle

Area of Triangle using Sine

Pythagorean Theorem

Converse of Pythagorean Theorem

Pythagorean Theorem Word Problems

Examples, solutions, videos, and worksheets to help Grade 8 students learn how to apply the converse of the Pythagorean Theorem to determine whether a triangle is a right triangle.

The converse of the Pythagorean Theorem states:

If the square of the length of the longest side of a triangle (hypotenuse) is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

In other words, if you have a triangle with sides of lengths 𝑎, 𝑏, and 𝑐 (where 𝑐 is the longest side), and if:

𝑐^{2} = 𝑎^{2} + 𝑏^{2}

then the triangle is a right triangle.

How It Works:

- The regular Pythagorean Theorem tells us that if a triangle is a right triangle, the equation 𝑐
^{2}= 𝑎^{2}+ 𝑏^{2}holds. - The converse tells us that if the equation 𝑐
^{2}= 𝑎^{2}+ 𝑏^{2}holds, then the triangle must be a right triangle.

Have a look at this video if you need to review how to use the converse of the Pythagorean Theorem.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Converse of Pythagorean Theorem Worksheet Worksheets**.

**Printable**

(Answers on the second page.)

Converse of Pythagorean Theorem Worksheet #1

Converse of Pythagorean Theorem Worksheet #2

Converse of Pythagorean Theorem Worksheet #3

Converse of the Pythagorean Theorem

**Online Worksheets**

Pythagorean Theorem

Find the missing side

Test for right triangle

Pythagorean Theorem Word Problems

Converse Pythagorean Theorem, Types of Triangles

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.

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