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7-2 The Pythagorean Theorem and Its Converse

7-2 The Pythagorean Theorem and Its Converse. 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.

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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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