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Chapter 8: Q. 29 (page 535)

Solve each triangle.

a=5,b=8,c=9

Short Answer

Expert verified

The required triangle is

A=33.90掳B=62.61掳C=83.49掳

Step by step solution

01

Given information

a=5,b=8,c=9

To find the anglesA,B,C

02

Calculation

ForA:cosA=b2+c2-a22bc=82+92-522脳8脳9=0.83A=cos-10.83=33.90掳

ForB:cosB=a2+c2-b22ac=52+92-822脳5脳9=0.46B=cos-10.46=62.61掳

Since we know A and B

C=180掳-A-B=180掳-33.90掳-62.61掳=83.49掳

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