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Chapter 8: Q.8 (page 553)

Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say 鈥淣o triangle.鈥�

A=50,B=30,a=1

Short Answer

Expert verified

The value ofC=100,b=0.652,c=1.285,

Step by step solution

01

Step 1. Given information   

The given data isA=50,B=30,a=1

02

Step 2. find the value C

Here, A=50,B=30

The sum of all the angles of a triangle is 180

A+B+C=18050+30+C=180C=180-80C=100

03

Step 3. Apply sine rule 

sine rule states that, sinAa=sinBb=sinCc

Here, A=50,B=30,a=1

sinAa=sinBb=sinCcsin501=sin30b=sin100c

Therefore, sin501=sin30bb=sin30sin50=0.652

Againsin501=sin100cc=sin100sin50=1.28

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