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Chapter 8: Q. 41 (page 516)

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

a=2,c=5

Short Answer

Expert verified

Required values of the triangle areb=4.58,A=23.58°,B=66.42°

Step by step solution

01

Step 1. Given information

a=2,c=5

For the right triangle shown in figure , we have

c2=a2+b2,A+B=90°

02

Step 2. Calculation

Weknow,Forc,⇒c2=a2+b2⇒b2=c2-a2=52-22=25-4=21⇒b=21=4.58ForA,⇒tan(A)=ab=24.58=0.4366⇒A=tan-1(0.4366)=23.58°ForB,⇒A+B=90°⇒B=90°-A=90°-23.58°=66.42°

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