General Aptitude TestQuantitative ReasoningGeometry

In triangle ABC, D, BE and CF are medians and G is the centroid of th…

In triangle ABC, D, BE and CF are medians and G is the centroid of the triangle. If the area of the triangle DGC is 20 cm², then the area of triangle AGF + the area of triangle BGF is equal to:

Answer & explanation

Correct answer: option 4

We know that,

Area of triangles AGF, AGE, DGB, DGC, EGC and FGB are equal.

∆ DGC = 20 cm²

∆ AGF = ∆ BGF = 20 cm²

∆ AGF + ∆ BGF = 20 + 20 = 40 cm²