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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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Warm-Up 10/15

1.

H

PSAT Tomorrow 10/16, you will need to bring your own calculator.


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.


4 7b law of sines and the law of cosines

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


Cases
Cases:

  • ASA or SAA

    2 SSA

    3 SAS

    4 SSS

LAW OF SINES

LAW OF COSINES


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.


math!

  • 4-7a Assignment: TX p298, 2-24 even

  • Unit 4 Test

  • Monday 10/21


math!

  • 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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