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The Pythagorean Theorem

The Pythagorean Theorem. Section 8-2. Pythagorean Theorem. In a right triangle, the square of the hypotenuse in equal to the sum of the squares of the legs. Pythagorean Theorem cont. c. a. Where a and b are the legs of a right triangle and c is the hypotenuse. b.

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The Pythagorean Theorem

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  1. The Pythagorean Theorem Section 8-2

  2. Pythagorean Theorem • In a right triangle, the square of the hypotenuse in equal to the sum of the squares of the legs.

  3. Pythagorean Theorem cont. c a Where a and b are the legs of a right triangle and c is the hypotenuse. b

  4. Pythagorean Theorem Example. c 3 4

  5. Pythagorean Theorem Example. 13 5 b

  6. Proof of Pythagorean thm. The leg of a right triangle is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

  7. Proof of Pythagorean thm.

  8. Proof of Pythagorean thm. Equality

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