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Chapter 8: Q. 39 (page 516)

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

a=5,b=3

Short Answer

Expert verified

Required values of the triangle arec=5.83,A=59.09°,B=30.91°

Step by step solution

01

Step 1. Given information

a=5,b=3

For the right triangle shown in figure , we have

c2=a2+b2,A+B=90°

02

Step 2. Calculation

Weknow,Forc,⇒c2=a2+b2=52+32=25+9=34⇒c=34=5.83ForA,⇒tan(A)=ab=53=1.67⇒A=tan-1(1.67)=59.09°ForB,⇒A+B=90°⇒B=90°-A=90°-59.09°=30.91°

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