Pythagorean Theorem Worksheets with Answers

One of the most famous theorems in Mathematics is the Pythagorean Theorem. At Cazoom, we recognize the importance of your child understanding this theorem that we have created a variety of Pythagorean Theorem worksheets to help support them. We begin with Math worksheets focused on the hypotenuse of a triangle and will move to finding the length of any part of a right triangle using the Pythagorean Theorem. From there, we can take our knowledge of the Pythagorean Theorem to find the distance between two points on a coordinate grid as well as using real life application such as finding the length of a ladder that is leaning up against a building. With our different levels of worksheets, Cazoom will meet the needs of all students in their process of using and applying the Pythagorean Theorem.

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  • 8
  • 8.G.B.7
  • The Hypotenuse
  • 8
  • 8.G.B.7
  • Missing Lengths
  • 8
  • 8.G.B.7; 8.G.B.8
  • Pythagoras Word Problems (With Clues)
  • 8
  • 8.G.B.7; 8.G.B.8
  • Pythagoras Word Problems

    PRINTABLE PDF PYTHAGOREAN THEOREM WORKSHEETS WITH ANSWERS

    Pythagorean Theorem is such a foundational part in Mathematics. From our Cazoom Math worksheets, your child can not only become familiar with the Pythagorean Theorem but can walk away as an expert, knowing how to apply their knowledge to solve real life problems. We can help support this by providing not only high-quality worksheets, but also answer keys to accompany the worksheets. By using the Pythagorean Theorem worksheets your students will easily find the length of any side of a right angled triangle.

    DEFINITION OF PYTHAGOREAN THEOREM

    The theorem is named after the Greek thinker Pythagoras, born around 570 BC. The theorem states that the area of the square whose side is the hypotenuse of a right angled triangle (the side opposite of the right angle) is equal to the sum of the areas of the squares on the other two sides.

    Written in algebraic notation this theorem gives the well-known equation a² +  b² = c²

    The c in the equation represents the length of the hypotenuse, while a and b the length of the other two sides of the triangle.

    How to use the Pythagorean Theorem to solve an equation?

    What follows is a step by step guide to find out the length of the missing side on right triangles. If you know the length of two sides on a right triangle it is really easy to find the length of the third one. Follow the explanation in the example:

    12² + 9² = c²

    (12×12) + (9×9) = c²

    144 + 81 = c²

    225 = c²

    c² = √225

    c = 15