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Chapter 8: Q. 24 (page 535)

Solve each triangle.

a=3,c=2,B=90掳

Short Answer

Expert verified

The solution isb鈮�3.6,A鈮�56.3掳,C鈮�33.7掳.

Step by step solution

01

Step 1. Given information 

a=3,c=2,B=90掳

02

Step 2. Calculation 

Use Law of Cosines -

b2=a2+c2-2accosB

=9+4-2脳3脳2cos90掳

=13-12脳0

b鈮�3.6

For C:

c2=a2+b2-2abcosC

localid="1646896357731" cosC=a2+b2-c22ab鈮�9+12.96-42脳3脳3.6鈮�17.9621.6

C鈮�cos-117.9621.6鈮�33.7掳

Since we know B and C,

A=180掳-90掳-33.7掳鈮�56.3掳

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