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Question

If 2A=3B=6C in a ΔABC, then A, B, C are


A

30°, 60°, 90°

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B

90°, 60°, 30°

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C

30°, 90°, 60°

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D

45°, 90°, 45°

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Solution

The correct option is B

90°, 60°, 30°


By angle sum property of triangle,

A+B+C = 180 (i)

From given data,
2A=6C
A = 3C

3B=6B
B=2C

By substituting values of A and B in (i), we get

3C+2C+C=180

6C=180

C=30

Hence,

A=3×30=90

B=2×30=60

A,B and C of ΔABC are 90,60, and 30 respectively.


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