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Chapter 8: Q. 18 (page 535)

Solve the triangle

a = 2, c = 1, B = 10掳

Short Answer

Expert verified

The solution is

b=1.04,A=156.92掳,C=13.08掳

Step by step solution

01

Step1. Given information

a = 2, c = 1, B = 10掳

02

Step2. Formula used

b2=a2+c2-2ac.cosB,cosA=b2+c2-a22bc

03

Step3. Calculation

We know

b2=a2+c2-2ac.cosB=22+12-2.2.1.cos10掳=4+1-4..98=5-3.92=1.08b=1.08=1.04Again,cosA=b2+c2-a22bc=1.042+12-222.1.04.1=1.08+1-42.08=-1.922.08=-.92A=cos-1-.92=156.92AgainweknowA+B+C=180掳156.92掳+10掳+C=180掳C=180掳-166.92C=13.08掳

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