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Chapter 8: Q. 15 (page 527)

Solve each triangle.

Short Answer

Expert verified

The solution isA=40°,a≈2,c≈3.1.

Step by step solution

01

Step 1. Given information 

02

Step 2. Calculation 

We know,

A+B+C=180°

A+40°+100°=180°

A=40°

Now use Law of Sines -

role="math" localid="1646916753582" sinAa=sinBb and role="math" localid="1646916765657" sinBb=sinCc

sin40°a=sin40°2 role="math" localid="1646916964723" sin40°2=sin100°c

2sin40°sin40°=a c=2sin100°sin40°

2=a c≈3.1

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