In the figure, DE//BC: DB//FE: DE = 2cm, FC = 3cm, AE = 4cm. Determine the length of EC.
Attached Figure / Diagram
A
4cm
B
6cm
C
3cm
D
2cm
E
1cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Angles ADE and EFC are similar,
Therefore,
= \(\frac{x}{3} = \frac{4}{2}\)
= \(\frac{x}{3} = 2\)
x = 3 x 2 = 6
Source: Myschool Past Questions Archive (Record #32729)