McGraw Hill Glencoe Geometry, 2012
MH
McGraw Hill Glencoe Geometry, 2012 View details
6. The Law of Sines and Law of Cosines
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Exercise 39 Page 594

Begin by using the Law of Cosines.

See solution.

Practice makes perfect

Let's begin by drawing and labeling the lengths of the sides. We will also color code the opposite angles and sides. It will help us use the Law of Sines and Law of Cosines later.

First, we can tell that it is not a right triangle, as the sides do not satisfy the Pythagorean Theorem.
Let's find the measures of and one at a time.