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Chapter 8: Q. 11 (page 527)

Solve each triangle.

Short Answer

Expert verified

The solution isB=45°,a≈3.3,c≈4.2.

Step by step solution

01

Step 1. Given information 

02

Step 2. Calculation 

We know,

A+B+C=180°

50°+B+85°=180°

B=45°

Now use Law of Sines -

role="math" localid="1646914513272" sinAa=sinBb and role="math" localid="1646914524115" sinBb=sinCc

sin50°a=sin45°3 sin45°3=sin85°c

role="math" localid="1646914685507" 3sin50°sin45°=a c=3sin85°sin45°

3.3≈a c≈4.2

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