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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掳,B=30.91掳

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掳

02

Step 2. Calculation

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

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