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7.2 Pythagorean Theorem and Its Converse

7.2 Pythagorean Theorem and Its Converse. Chapter 7 Area. 7.2 Pythagorean Theorem. Theorem 7-4 Pythagorean Theorem a 2 + b 2 = c 2. *c is always the hypotenuse. c. a. b. Pythagorean Triples. Find the length of the hypotenuse of Δ ABC. . 21. 20. Pythagorean Theorem.

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7.2 Pythagorean Theorem and Its Converse

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  1. 7.2 Pythagorean Theorem and Its Converse Chapter 7 Area

  2. 7.2 Pythagorean Theorem • Theorem 7-4 Pythagorean Theorem a2 + b2 = c2 *c is always the hypotenuse c a b

  3. Pythagorean Triples • Find the length of the hypotenuse of ΔABC. 21 20

  4. Pythagorean Theorem • Find the missing length. Leave your answer is simplest radical form. 20 x 8

  5. Finding Area • Find the area of the triangle. 12m 12m h 20m

  6. Finding Area • Find the area of the triangle √53 cm 7cm

  7. Converse of the Pythagorean Theorem • Theorem 7-5 Converse of the Pythagorean Theorem 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.

  8. Is the Triangle a Right Triangle? 85 13 84 50 16 48

  9. Classifying as Right, Obtuse or Acute • Theorem 7-6 If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, the triangle is obtuse. If c2 > a2 + b2, the triangle is obtuse.

  10. Classifying as Right, Obtuse or Acute • If a2 + b2 < c2, the triangle is obtuse • If a2 + b2 > c2, the triangle is acute • If a2 + b2 = c2, the triangle is a right triangle

  11. Classifying as Right, Obtuse, or Acute • The lengths of the sides of a triangle are given. Classify each as acute, obtuse, or right. • 6, 11, 14 • 12, 13, 15 • 7, 8, 9

  12. Practice • Pg 360 1-38

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