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Question

In a triangle ABC, if B=300 and c=3b, then A can be equal to :-

A
450
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B
600
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C
900
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D
1200
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Solution

The correct option is C 900

In a triangle ABC

B=30o

And

c=3b

cb=31

bc=13


Using sine rule and we get,

sinBb=sinCc

sinBsinC=bc

sinBsinC=13

If B=30o


Then,

sin30osinC=13

sinC=3sin30o

sinC=3×12

sinC=32

sinC=sin60o

C=60o


Then,

We know that, In any triangle ABC

A+B+C=180o

A+30o+60o=180o

A=90o


Hence, this is the answer.


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