Mathematics

In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC….

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