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8.2 The Pythagorean Theorem and Its Converse

Geometry:. 8.2 The Pythagorean Theorem and Its Converse. Pythagorean Theorem. a 2 + b 2 = c 2 Example 1: Find the missing measure. . 9. 5. 15. 12. Pythagorean triple – set of three numbers that satisfy the Pythagorean Theorem. Common Pythagorean Triples.

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8.2 The Pythagorean Theorem and Its Converse

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  1. Geometry: 8.2The Pythagorean Theorem and Its Converse

  2. Pythagorean Theorem • a2 + b2 = c2 • Example 1: Find the missing measure. 9 5 15 12

  3. Pythagorean triple – set of three numbers that satisfy the Pythagorean Theorem. • Common Pythagorean Triples

  4. Converse of the Pythagorean Theorem • If a2 + b2 = c2, then the triangle is right.

  5. Triangle Inequality Theorem • For 3 lengths to be possible for a triangle, the sum of the smaller two must be greater than the third.

  6. Pythagorean Inequality Theorems • If c2 < a2 + b2, then the triangle is acute. • If c2 > a2 + b2, then the triangle is obtuse.

  7. Example 3 • Determine whether each set of numbers can be the measures of the sides of a triangle. Classify the triangle as right, obtuse, or acute. • A. 12, 16, 20 • B. 10, 11, 13

  8. Assignment • Page 545: 1 -27 odds, 38 • Quiz Next Time Over 8.1/2!

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