# In a Δ ABC, 2 A = 3 B = 6 C. What is the ratio of AB to AC? In ΔABC,

| In a Δ ABC, 2A = 3B = 6C. What is the ratio of AB to AC?

A. : 2

B. 2 :

C. : 1

D. 1 :

### Right Answer is: D

#### SOLUTION

In ΔABC,

A + B + C = 180˚

or 3C + 2C + C = 180˚

C = 30˚

and B = 2C = 60˚

and A = 3C = 90˚

So ΔABC is a right angle triangle and it is right angled at A.

Now, tanC =

tan30˚ =

=

AB : AC = 1 :

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In a Δ ABC, 2 A = 3 B = 6 C. What is the ratio of AB to AC?

In ΔABC,