In the diagram,|AB| = 12cm, |AE| = 8cm, |DC| = 9cm and BD||DC. Find the length of EC.
Attached Figure / Diagram
A
6cm
B
5cm
C
8cm
D
9cm
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
The sides are in a common ratio
⇒ \(\frac{EC}{AE} = \frac{AB}{CD}\)
\(\frac{EC}{AE} = \frac{9}{12}\)
EC = \(\frac{8 \times 9}{12}\) = 6cm.
Source: Myschool Past Questions Archive (Record #75905)