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Chapter 8: Q. 27 (page 535)

Solve each triangle.

a=2,b=2,c=2

Short Answer

Expert verified

The required triangle is

A=60掳B=60掳C=60掳

Step by step solution

01

Given information

a=2,b=2,c=2

To find the angles A,B,C

02

Calculation

ForA:cosA=b2+c2-a22bc=22+22-222脳2脳2=0.5A=cos-10.5=60掳

ForB:cosB=a2+c2-b22ac=22+22-222脳2脳2=0.5B=cos-10.5=60掳

Since we know A and B,

C=180掳-A-B=180掳-60掳-60掳=60掳

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