# 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.

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