Math 150 7.1/7.2 – The Law of Sines 1. Q: We know how to solve right triangles using trig, but how can we use trig to solve any triangle? A: The Law of.

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Presentation transcript:

Math /7.2 – The Law of Sines 1

Q: We know how to solve right triangles using trig, but how can we use trig to solve any triangle? A: The Law of Sines (7.1/7.2) and The Law of Cosines (7.3). 2

Q: We know how to solve right triangles using trig, but how can we use trig to solve any triangle? A: The Law of Sines (7.1/7.2) and The Law of Cosines (7.3). 3

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To solve a triangle, we’ve needed to know some of its sides and angles. We can classify the possibilities like this (A = Angle, S = Side): Case 1: ASA or SAA 7

Case 2: SSA 8

Case 3: SAS 9

Case 4: SSS 10

Note: The Law of Sines helps us solve cases 1 and 2. The Law of Cosines helps us solve cases 3 and 4. 11

12 Pain in the SSA

13 Pain in the SSA

14 Pain in the SSA

15 Pain in the SSA

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22 Area of a Triangle (SAS)

23 Area of a Triangle (SAS)

24 Area of a Triangle (SAS)

25 Area of a Triangle (SAS)

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Let’s go back and prove the Law of Sines as well… 31

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