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