In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|
-
A.
10cm -
B.
9cm -
C.
8cm -
D.
7cm -
E.
6cm
Correct Answer: Option E
Explanation
|AB| = 12 cm; |DC| = 9 cm; |AE| = 8 cm.
(Delta) ABE and (Delta) EDC are similar triangles. Hence,
(frac{|AB|}{|DC|} = frac{|AE|}{|EC|})
(frac{12}{9} = frac{8}{|EC|})
(therefore |EC| = frac{9 times 8}{12})
= 6 cm