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Chapter 8: Q. 26 (page 535)

Solve each triangle.

a=4,b=5,c=3

Short Answer

Expert verified

The required triangle is

A=53.13掳B=90掳C=36.87掳

Step by step solution

01

Step 1. Given information

a=4,b=5,c=3

To find the anglesA,B,C

02

Calculation

ForA:cosA=b2+c2-a22bc=52+32-422脳5脳3=0.6A=cos-10.6=53.13掳

ForB:cosB=a2+c2-b22ac=42+32-522脳4脳3=0B=cos-10=90掳

Since we know A and B

C=180掳-A-B=180掳-53.13掳-90掳=36.87掳

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