In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.
-
A.
4cm -
B.
6cm -
C.
3cm -
D.
2cm -
E.
1cm
Correct Answer: Option B
Explanation
Angles ADE and EFC are similar,
Therefore,
= (frac{x}{3} = frac{4}{2})
= (frac{x}{3} = 2)
x = 3 x 2 = 6