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Chapter 8: Q. 13 (page 527)

Solve each triangle.

Short Answer

Expert verified

The solution isC=95°,a≈6.4,c≈9.9.

Step by step solution

01

Step 1. Given information 

02

Step 2. Calculation 

We know,

A+B+C=180°

40°+45°+C=180°

C=95°

Now use Law of Sines -

role="math" localid="1646915867886" sinAa=sinBb and role="math" localid="1646915916555" sinBb=sinCc

sin40°a=sin45°7 role="math" localid="1646915973695" sin45°7=sin95°c

7sin40°sin45°=a c=7sin95°sin45°

6.4≈a c≈9.9

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Most popular questions from this chapter

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