Sides AB and AC of triangle ABC are points D and E such that DE is parallel to side BC. If|| If...

Points P and Q lie on sides AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ: triangle ABC is 25 : 36, then the ratio PA : PB is

If a line intersects sides AB and AC of a Delta ABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC)

In a triangle ABC, D and E are points on AB, AC respectively such that DE is parallel to BC. Suppose BE, CD intersect at O. If the areas of the triangles ADE and ODE are 3 and 1 respectively, find the area of the triangle ABC, with justification

If the mid points of the sides AB and AC of a triangle ABC are (3,5),(-3,-3) then the length of the side BC is

If D and E are the mid-points of sides AB and AC of a triangle ABC respectively, show that vec BE+vec DC=(3)/(2)vec BC