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Chapter 8: Q. 37 (page 516)

By using the Right angled triangle and the information given below, solve the triangle.

c=9,B=20°


Short Answer

Expert verified

Required values of the triangle areA=70°,a=8.45,b=3.09

Step by step solution

01

Step 1. Given information

c=9,B=20°

For the right triangle shown in figure , we have

c2=a2+b2,A+B=90°


02

Step 2. Calculation

Weknow,ForA,⇒A+B=90°⇒A=90°-B=90°-20°=70°Fora,⇒sin(A)=ac⇒a=sin(A)×c=sin(70°)×9=0.9396×9=8.45Forb,⇒c2=a2+b2⇒b2=c2-a2=92-8.452=81-71.4025=9.5975⇒b=9.5975=3.09

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