In ΔABC, medians AD, BE, and CF intersect at the Centroid G. If the area of ΔABC is 60 cm2, what is the area of ΔGBC?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 20 cm2.
The centroid divides the triangle into 6 smaller triangles of equal area.
Area of ΔABC = 60 cm2
Medians AD, BE, and CF intersect at centroid G.
ΔGBC consists of two of those six small triangles (since BC is the base, and G is above BC).
Area of ΔGBC = (2/6) × Area of ΔABC = (1/3) × 60 = 20 cm2