G.SRT.D.11: Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.

Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.

Example Problems

What are the angle measures in a triangle whose three sides each have a length of

1

unit? Explain.

a. For which acute angles

a

is

\sin a = \cos a

? Explain.

b. For which acute angles

a

is

\sin a = \cos 2a

? Explain.

What are the approximate angle measures of the three angles in a triangle whose side lengths are

2

,

3

, and

4

units respectively?

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