Question

in triangle ABC if X and Y are points on AB and AC respectively such that AX/XB=3/4,AY=5 and YC=9,then state, whether XY and BC are parallel or not

Answer 1

If  BC is parallel to XY then  AXY and ABC will be similar triangles, as the sides  AX || AB,  AY || AC and BC || XY.

So then the ratios of corresponding sides will be same.

AX / AB = 3 /(4+3) = 3/7
AY / AC = 5 / (5+9) = 5/14

As the ratios are not equal, the two triangles are not Similar. Hence XY is not parallel to each other.

Hope This Helps :)

Answer 2

Answer is pinned below