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Question

In the given right-angled triangle the angle with B=30, the ratio of the sides AB : AC: BC will be equal to


A

2:1:3

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B

1:3:2

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C

3:2:1

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D

1:1:2

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Solution

The correct option is A

2:1:3


B=30,A=60

The angles of the triangle ABC are 30,60,90.

sin(30):sin(60):sin(90)

12:32:1

1:3:2

Therefore, the sides will be in the ratio 1:3:2

30,60,901:3:2ACBCAB

Therefore AB : AC: BC = 2:1:3


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