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91Ó°ÊÓ

Solve each triangle.

a=3,c=2,B=110°

Short Answer

Expert verified

The solution isb≈4.1,A≈42.4°,C≈27.6°.

Step by step solution

01

Step 1. Given information 

a=3,c=2,B=110°

02

Step 2. Calculation 

Use Law of Cosines -

b2=a2+c2-2accosB

=9+4-2×3×2cos110°

=13-12×-0.34

b≈4.1

For C:

c2=a2+b2-2abcosC

localid="1646894339823" role="math" cosC=a2+b2-c22ab≈9+16.81-42×3×4.1≈21.8124.6

C≈cos-121.8124.6≈27.6°

Since we know Band C,

A=180°-110°-27.6°≈42.4°

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