Pythagorean Theorem Worksheets

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Get into high gear with our free, printable Pythagorean theorem worksheets! Pythagoras's theorem plays a role in topics like trigonometry. Our Pythagorean theorem worksheet pdfs include finding the hypotenuse, identifying Pythagorean triples, identifying a right triangle using the converse of the theorem, and more!

Our Pythagorean theorem worksheets work best for 7th grade, 8th grade, and high school students.

Pythagorean Theorem Charts

Memorize the relation between the hypotenuse and legs of a right triangle (c2 = a2 + b2) and figure out what Pythagorean triplets are! This geometrical interpretation of the Pythagorean theorem is buoyed by areas of squares.

Pythagorean Theorem Charts

Pythagorean Triples

A Pythagorean triple is a set of 3 positive integers that satisfy the Pythagorean theorem. A triple consists of three even numbers or two odd numbers and an even number. Use this fact to check if the numbers form a Pythagorean triple.

Pythagorean Triples

Finding the Length of a Line Segment Using Pythagorean Theorem

Does the equation c2 = a2 + b2 help find the length of a line segment? Recognize the distance formula as a variant of the Pythagorean theorem and measure the line segments on xy-planes in these pdf worksheets for grade 8 and high school!

Finding the Length of a Line Segment Using Pythagorean Theorem

Converse of the Pythagorean Theorem | Is It a Right Triangle?

A triangle's dimensions are 10 units, 24 units, and 26 units. Is it a right triangle? Verify using the Pythagorean triples or the theorem's converse. These Pythagorean theorem worksheets have more!

Converse of the Pythagorean Theorem - Is It a Right Triangle?

Finding the Hypotenuse

The Pythagorean theorem helps find the length of the hypotenuse using the leg lengths. Add the squares of the two lengths and take the square root of the sum to arrive at the length of the hypotenuse.

Finding the Hypotenuse

Finding the Unknown Side Lengths in Right Triangles

Grade 7, grade 8, and high school kids draw on our printable Pythagorean theorem worksheets, presenting right triangles with a side length missing. Use the equation c2 = a2 + b2 and solve.

Finding the Unknown Side Lengths in Right Triangles

Pythagorean Theorem Word Problems

Explore real-world situations that require the application of the Pythagorean theorem and solving for the missing length of the right triangle in this bunch of worksheets!

Pythagorean Theorem Word Problems

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

Area of Right Triangles

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

Area of Right Triangles