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5.1 Special Right Triangles

5.1 Special Right Triangles. Pg. 151. Theorems. Theorem 5.1 45° - 45° - 90° Theorem In a 45° - 45° - 90° triangle, the hypotenuse is times as long as each leg Theorem 5.2 30° - 60° - 90° Theorem

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5.1 Special Right Triangles

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  1. 5.1 Special Right Triangles Pg. 151

  2. Theorems • Theorem 5.1 45° - 45° - 90° Theorem In a 45° - 45° - 90° triangle, the hypotenuse is times as long as each leg • Theorem 5.2 30° - 60° - 90° Theorem In a 30° - 60° - 90° triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is times as long as the shorter leg.

  3. Tools to Use With Right Triangles • Pythagoreans Theorem • MUST BE A RIGHT TRIANGLE • The longest side is the hypotenuse • Opposite the right angle

  4. Tools to Use With Right Triangles • Triangle Ratios 45° 60° 1 2 1 30° 45° 1

  5. When trying to find the missing side to a right triangle, what information do I need to be able to use the Pythagorean Theorem? _________ SIDES

  6. 2 Special Right Triangles • _____ - _____ - _____ Right TriangleHow can you tell? a) Both ______ are the same. b) Both ______ are the same.

  7. Homework • Book Pg. 153, 1-22 all

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