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Chapter 8: Q. 22 (page 535)

Solve each triangle.

b=4c=1,A=120掳

Short Answer

Expert verified

The solution isa鈮�4.6,B鈮�49.3掳,C鈮�10.7掳

Step by step solution

01

Step 1. Given information 

b=4c=1,A=120掳

02

Step 2. Calculation 

Use Law of Cosines -

a2=b2+c2-2bccosA

=16+1-2脳4脳1cos120掳

=17-8脳-0.5

a鈮�4.6

For C:

c2=a2+b2-2abcosC

localid="1646894986845" cosC=a2+b2-c22ab鈮�21.16+16-12脳4.6脳4鈮�36.1636.8

C鈮�cos-136.1636.8鈮�10.7掳

Since we know A and C,

B=180掳-120掳-10.7掳鈮�49.3掳

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