5.1 Special Right Triangles

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Presentation transcript:

5.1 Special Right Triangles Pg. 151

Theorems Theorem 5.1 Theorem 5.2 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.

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

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

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

2 Special Right Triangles _____ - _____ - _____ Right Triangle How can you tell? a) Both ______ are the same. b) Both ______ are the same.

Homework Book Pg. 153, 1-22 all