# Pythagorean Theorem Worksheets

What is the Pythagorean Theorem? Pythagorean theorem describes the relation between the sides of a right-angled triangle. The Pythagorean formula is applied on a right-angled triangle and is used to determine the hypotenuse, base and the perpendicular of the triangle. The theorem states that: "In a right-angled triangle, the square of the hypotenuse side is equal to the squares of the perpendicular side and the base side." The hypotenuse is the longest side, and perpendicular is the side opposite to the hypotenuse side. Consider the triangle above, where a is the perpendicular side, b is the base side, and c is the hypotenuse. According to the definition of the Pythagorean theorem, the formula would be written as: c2 = a2 + b2.

• ### Basic Lesson

Guides students through solving Pythagorean Theorem.

• ### Intermediate Lesson

Demonstrates the concept of advanced skill while solving Pythagorean Theorem. A square with sides of 40 feet. What is the shortest distance between two opposite vertices? Here we have AB = 40 and BC = 40.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Pythagorean Theorem. Example: Princess Marie is locked in the tower of a castle. Tim volunteered to rescue the princess. If the tower window is 480 feet above the ground and you must place your ladder 31 feet from the base of the castle (because of the moat), what is the shortest length ladder, to the nearest foot, you will need to reach the princess?

• ### Independent Practice 2

Students use Pythagorean Theorem in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Pythagorean Theorem.

• ### Skill Quiz

This tests the students ability to understand Pythagorean Theorem. One leg of a triangle is 10 cm and other leg is of 24 cm. Find out the hypotenuse?

• ### Basic Lesson

Guides students through the application of the Pythagorean theorem.

• ### Intermediate Lesson

Guides students through the use of the hypotenuse and legs of triangles.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Pythagorean theorem.

• ### Independent Practice 2

Students complete 20 triangles. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems that ask them to complete the triangle.

• ### Skill Quiz

This tests the students understanding of the Pythagorean theorem. Determine the length of the third side of the right triangle.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### The Fork?

On your way to El Dorado you come to a fork in the road. There are 2 men there; one man tells the truth, the other lies. What question can you ask to assure that you reach the gold? Ask either of the men "Would he say this is the way to El Dorado?" It is the right path if the man answers "no".