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Warm-Up 10/15. 1 . . H. PSAT Tomorrow 10/16, you will need to bring your own calculator. .

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### 4-7b Law of Sines and the Law of Cosines

Rigor:You will learn how to use the Law of Sines and Cosines to solve right triangle problems.Relevance:You will be able to use the Law of Sines and Cosines to solve real world problems.

Example 4: Find two triangles for which A= 43°, a= 25, b= 28. Round side lengths to the nearest tenth and angle measures to the nearest degree.

A is acute, and h = 28sin 43° 19.1

Since a < b and a > h there are two different triangles.

Solution 1: Find the acute B.

, C , and c 36.6

Example 4: Find two triangles for which A= 43°, a= 25, b= 28. Round side lengths to the nearest tenth and angle measures to the nearest degree.

Solution 2: Find the obtuse B'.

CB'B = B

, so B' 180°– 50° 130°

C 180°– 43 °– 130° 7°

, C , and c 4.5

Example 5: Solve ∆ABC. Round side lengths to the nearest tenth and angle measures to the nearest degree.

Given a = 6, b =24, c = 20 find angle A.

Example 6: Solve ∆ABC. Round side lengths to the nearest tenth and angle measures to the nearest degree.

, , and c

Example 7: Find the area of ∆XYZ.

Example 8: Find the area of ∆GHJ to the nearest tenth.

- 4-7a Assignment: TX p298, 2-24 even
- Unit 4 Test
- Monday 10/21

- 4-7a Assignment: TX p298, 2-24 even
- Assignment for Wednesday:
- 4-7b Assignment: TX p298-299, 26-50 even
- Unit 4 Test
- Monday 10/21

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