D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 144:25 and BC=13 cm, then find the length of DE. Choose the correct choice from the following options
A) 12 B) 13 C) 14 D) 11 E) 15
ABC and ADE are similar triangles.   So (side of AB14/side of ADE)^2=25/169   side of AB14/side of ADE = 5/13   So the length of DE = 5   Answer - 14
<result>C</result>
D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 144:25 and BC=13 cm, then find the length of DE.