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Chapter 8: Q. 32 (page 535)

Solve each triangle.

a=9,b=7,c=10

Short Answer

Expert verified

The required triangle is

A=61.31掳B=43.11掳C=75.58掳

Step by step solution

01

Given information

a=9,b=7,c=10

To find the angles A, B, C

02

Calculation

ForA:cosA=b2+c2-a22bc=72+102-922脳7脳10=0.48A=cos-10.48=61.31掳

ForB:cosB=a2+c2-b22ac=92+102-722脳9脳10=0.73B=cos-10.73=43.11掳

Since we know A and B

C=180掳-A-B=180掳-61.31掳-43.11掳=75.58掳

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