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McGraw Hill Glencoe Geometry, 2012

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McGraw Hill Glencoe Geometry, 2012 View details

6. The Law of Sines and Law of Cosines

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Exercise 37 Page 594

Begin by using the Law of Cosines first and then the Law of Sines.

$P R \approx 14.6$
$m ∠ P \approx 35$
$m ∠ R \approx 75$

Practice makes perfect

Let's begin by color coding the opposite angles, sides, and the vertices in the given triangle. It will help us use the Law of Cosines and the Law of Sines later.

Let's first find the length of the missing segment $P R$ and then the measures of the missing angles, $m ∠ P$ and $m ∠ R$ one at a time.

Finding $P R$

Note that we know an interior angle and the lengths of both of the adjacent sides. Therefore, we can use the Law of Cosines.

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Subchapter links

Check Your Understanding p.592

Practice and Problem Solving p.593-596

H.O.T. Problems p.596

Standardized Test Practice p.597

Spiral Review p.597

Skills Review p.597