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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掳,B=41.83掳

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掳

02

Step 2. Calculation

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

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