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 is B
Angles ADE and EFC are similar,
Therefore,
= \(\frac{x}{3} = \frac{4}{2}\)
= \(\frac{x}{3} = 2\)
x = 3 x 2 = 6