Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

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:

Options:

30 cm2

20 cm2

25 cm2

40 cm2

Correct Answer:

40 cm2

Explanation:

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