Question

In triangle ABC point D is the midpoint of side BC and point G is the centroid of triangle ABC find area of triangle AGB :area of triangle ABD

Answer 1

Given:

D is the midpoint of side BC

G is the centroid of triangle ABC

To find:

area of triangle AGB :area of triangle ABD

Solution:

1) let us take the area of the triangle ABC 6 unit.

2) D is the midpoint of the side BC so AD be the median of the triangle which divides the triangle into two equal area so area of ABD is 3 unit.

3)If G is the centroid then it trisect the triangle into three equal parts so area of AGB is 2 unit.

area of triangle AGB :area of triangle ABD = 2:3