Right Triangles and Trigonometry Chapter 8. Pythagorean Theorem a 2 + b 2 = c 2 right triangle a 2 + b 2 < c 2 obtuse triangle a 2 + b 2 > c 2 acute triangle.

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Presentation transcript:

Right Triangles and Trigonometry Chapter 8

Pythagorean Theorem a 2 + b 2 = c 2 right triangle a 2 + b 2 < c 2 obtuse triangle a 2 + b 2 > c 2 acute triangle a b c

Example of Using the Pythagorean Theorem D E F 8 20 x -64

In a 45º-45º-90º triangle, both legs are congruent and the length of the hypotenuse is times the length of a leg. 45º-45º-90º Triangle Theorem S S

30º-60º-90º Triangle Theorem In a 30º-60º-90º triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is times the length of the shorter leg. 30º 60º 2s s hyp. = 2 short side long side = short side

Trigonometry Ratios Sine = Cosine = Tangent = P Q R p q r