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7-2 The Pythagorean Theorem and Its Converse

Learn about the Pythagorean Theorem and its uses in geometry. Discover Pythagorean Triples and Common Triples, and explore how to find area using the theorem. Understand the Converse of the Pythagorean Theorem and Theorems 7-6 and 7-7.

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7-2 The Pythagorean Theorem and Its Converse

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  1. 7-2 The Pythagorean Theorem and Its Converse

  2. Pythagorean Theorem (Thm. 7-4): In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

  3. Pythagorean Triple: set of nonzero whole numbers, a, b, and c that satisfy the Pythagorean Theorem Common Triples: 3, 4, 5 5, 12, 13 7, 24, 25 8, 15, 17 12, 25, 37 20, 21, 29

  4. Finding the Area using the Pythag. Thm 12 m 12 m 20 m

  5. Converse of the Pythagorean Theorem (Thm. 7-5): If the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

  6. Theorem 7-6: Theorem 7-7:

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