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91Ó°ÊÓ

Solve each triangle using either the Law of Sines or the Law of Cosines

a=6,b=8,c=9

Short Answer

Expert verified

The required triangle is

A=40.88°B=60.59°C=78.53°

Step by step solution

01

Given information

a=6,b=8,c=9

To find the angles A,B,C

02

Calculation

ForA:cosA=b2+c2-a22bc=82+92-622×8×9=0.756A=cos-10.756=40.88°

ForB:cosB=a2+c2-b22ac=62+92-822×6×9=0.491B=cos-10.491=60.59°

Since we know A and B

C=180-A-B=180°-40.88°-60.59°=78.53°

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