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Chapter 8: Q. 42 (page 516)

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

b=4,c=6

Short Answer

Expert verified

Required values of the triangle area=4.47,A=48.17°,B=41.83°

Step by step solution

01

. Given information

b=a,c=6

For the right triangle shown in figure , we have

c2=a2+b2,A+B=90°

02

Step 2. Calculation

Weknow,Forc,⇒c2=a2+b2⇒a2=c2-b2=62-42=36-16=20⇒a=20=4.47ForA,⇒tan(A)=ab=4.474=1.1175⇒A=tan-1(1.1175)=48.17°ForB,⇒A+B=90°⇒B=90°-A=90°-48.17°=41.83°

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