Pythagorean Theorem Worksheets

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Get into high gear with our free printable Pythagorean theorem worksheets! The Pythagorean theorem, or Pythagoras's theorem, is one of the important theorems in geometry. Among the several beneficiaries of this theorem are advanced topics like trigonometry and various other practical applications. In this set of Pythagorean theorem pdf worksheets, we get children practicing skills like finding the hypotenuse, finding the missing side lengths of a right triangle, identifying Pythagorean triples, identifying a right triangle using the converse of the theorem, and plenty more! Work out all exercises and gain instant insight into the topic!

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

CCSS: 8.G, HSA-APR

Pythagorean Theorem Chart

Memorize the relation between the hypotenuse and legs of a right triangle in the form of an equation c2 = a2 + b2 using this lucid chart! Grab this geometrical interpretation of the Pythagorean theorem, buoyed by areas of squares.

Pythagorean Theorem Chart

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

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

A triangle has the side lengths 10 units, 24 units, and 26 units. Is it a right triangle? The answer is yes! You can verify it using the Pythagorean triples or applying the theorem's converse. Plunge into these Pythagorean theorem worksheets for more!

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

Finding the Hypotenuse

Perhaps the most commonplace application of the Pythagorean theorem is finding 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

Watch the whiz-bang kids in grade 7, grade 8, and high school draw on our printable Pythagorean theorem worksheets, presenting the right triangles with one of the side lengths missing. Isolate the unknown from the equation c2 = a2 + b2 and solve.

Finding the Unknown Side Lengths in Right Triangles

Finding the Length of the Diagonal of a Rectangle

Do you see two right triangles on a rectangle? If you do, you deserve a pat on the back! 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

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