A triangle has angles 30o, 15o and 135o. The side opposite to the angle 30o is length 6cm. The side opposite to the angle 135o is equal to
-
A.
12cm -
B.
6cm -
C.
6(sqrt{2})cm -
D.
12(sqrt{2})cm
Correct Answer: Option C
Explanation
(frac{6}{sin 30}) = (frac{x}{sin 135})
(frac{6}{sin 30}) = (frac{x}{sin 45})
x = (frac{6 times sin 45}{sin 30})
= (6 sqrt{2})cm