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Chapter 8: Q. 12 (page 535)

Solve the triangle

Short Answer

Expert verified

The solution isb=3.19,A=11.48°,C=148.52°

Step by step solution

01

Step1. Given information

02

Step2. Formula used

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

03

Step3. Calulation

We know,

b2=a2+c2-2ac.cosB=22+52-2.2.5.cos20°=4+25-20×.939=29-18.78=10.22b=10.22=3.19Again,cosA=b2+c2-a22bc=3.192+52-222.3.19.5=10.22+25-431.9=31.2231.9=.98A=cos-1(.98)=11.48°Weknow,A+B+C=180°11.48°+20°+C=180°C=180°-31.48°=148.52°

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Most popular questions from this chapter

In the given problem solve the triangle using either the law of sines or law of cosines-

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