Pythagorean Theorem Class 8 Worksheets

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Pythagorean Theorem


It's a fundamental concept in geometry that relates to right triangles.

The Formula


The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Mathematically, it's represented as a² + b² = c².



Consider a right triangle with legs of length 'a' and 'b' and a hypotenuse of length 'c.' If 'a' is 3 units long and 'b' is 4 units long, you can find 'c' using the Pythagorean Theorem: 3² + 4² = c², which simplifies to 9 + 16 = c². Thus, c² = 25, and taking the square root of both sides gives c = 5 units.



The Pythagorean Theorem is widely used in various fields, such as architecture, engineering, and physics.

Math Proficiency


Mastery of this theorem is essential for solving problems involving right triangles.

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