Correct Answer - Option 1 : 40 cm
2
Given :
In triangle ABC, AD, BE and CF are medians and G is the centroid of the triangle and the area of the triangle DGC is 20 cm2.
Concept used :
All medians of a triangle divides a triangle in 6 triangles of equal area.
Calculations :
Area of triangles AGF, AGE, DGB, DGC, EGC and FGB are equal.
∆ DGC = 20 cm2
So,
∆ AGF = ∆ BGF = 20 cm2
∆ AGF + ∆ BGF = 20 + 20
⇒ 40 cm2
∴ Option 1 will be the correct answer.