If the area of the triangle BGC is 28 square units and the centroid of the triangle is G. Then, find the area of the triangle ABC

Solution:

The centroid divides the triangle into three triangles of equal area.

The triangle ABC is divided into 3 triangles of equal area as ABG, ACG and BGC by the centroid G.

Given, the area of triangle BGC = 28 square units.

Area of triangle ABC = 3 × area of triangle BGC

= 3 × 28

= 84 square units

Therefore, the area of the triangle ABC is 84 square units.

If the area of the triangle BGC is 28 square units and the centroid of the triangle is G. Then, find the area of the triangle ABC

Summary:

If the area of the triangle BGC is 28 square units and the centroid of the triangle is G then the area of the triangle ABC is 84 square units.