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7.2 Use the Converse of the Pythagorean Theorem

7.2 Use the Converse of the Pythagorean Theorem. Learning Target : Students will be able to use the converse of the Pythagorean Theorem to determine if a triangle is a right triangle. April 23, 2014. Ex 1: Verify Right Triangles. Theorem 7.2 Converse of the Pythagorean Theorem

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7.2 Use the Converse of the Pythagorean Theorem

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  1. 7.2 Use the Converse of the Pythagorean Theorem Learning Target: Students will be able to use the converse of the Pythagorean Theorem to determine if a triangle is a right triangle. April 23, 2014

  2. Ex 1: Verify Right Triangles • Theorem 7.2 Converse of the Pythagorean Theorem If the square of the length of the longest 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. a) b) 23 11 20 8 10

  3. Ex 2: Classify Triangles • Theorem 7.3 If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is acute. If , then the triangle is acute. • Theorem 7.4 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, then the triangle is an obtuse triangle. If , then the triangle is obtuse.

  4. Ex 2: continued Yes • Can segments with lengths of 11.2 inches, 6.5 inches, and 7.1 inches form a triangle? If so, would the triangle be acute, right, or obtuse? • Step 1: Check the segments. • Step 2: Classify the triangle. Obtuse

  5. Guided Practice • Tell whether a triangle with the given side lengths is a right triangle. 1) 2) 10, 11, and 14 3) 4) Show that segments with lengths 3, 4, & 6 can form a triangle and classify the triangle as acute, obtuse, or right.

  6. Assignment Pg. 444 #4, 8, 12, 16, 22

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