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The Pythagorean Theorem

This topic covers finding the length of the third side of a right triangle when the other two sides are known. The topic also covers Pythagorean triples and some application problems.

Topic: Pythagorean Theorem and its Converse

  • The Pythagorean Theorem describes the relationship between the lengths of the legs and the hypotenuse for any right triangle

  • In any right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse, that is, a2 + b2 = c2

  • The longest side of a right triangle is its hypotenuse. So, c represents the length of the longest side

  • The converse of Pythagorean Theorem states:
    If the sides of a triangle have lengths a, b, and c units such that c2 = a2 + b2, then the triangle is a right triangle

Topic: Application Problems

  • The Pythagorean Theorem describes the relationship between the lengths of the legs and the hypotenuse for any right triangle

  • The Pythagorean Theorem states that: In any right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse, that is, a2 + b2 = c2

  • The longest side of a right triangle is its hypotenuse. So, c represents the length of the longest side
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