In Fig. 9.29 ratio of the area of triangle ABC to the area of triangle ACD is the same as the ratio of base BC of triangle ABC to the base CD of triangle ACD.

In triangle ABC , the medians AD, BE and CF meet at O. What is the ratio of the area of triangle ABD to the area of triangle AOE ?

In triangle ABC , the medians AD. BE and CF meet at O. What is the ratio of the area of triangle ABD to the area of triangle AOE ?

In Fig.3, the area of triangle ABC( in sq.units ) is :

The ratio of the areas of two triangles ABC and PQR is 4 : 3 and the ratio of their heights is 5 :3. The ratio of the bases of triangle AHC to that of triangle PQR is:

Consider the following statements : 1. Let D be a point on the side BC of a triangle ABC: If area of triangle ABD = area of triangle ACD, then for all points O on AD, area of triangle ABO = area of triangle ACO. 2. If G is the point of concurrence of the medians of a triangle ABC, then area of triangle ABG = area of triangle BCO = area of triangle ACG. Which of the above statements is/are correct?

Find the ratio of the areas of an equilateral triangle ABC and square EFGC, if G is the centroid of the triangle ABC.

The ratio of the areas of the triangle and a parallelogram in same parallels and on the same base is :

triangle ABC and triangle DBC are isosceles triangles on the same base BC. Prove that line AD bisects BC at right angles