Question
Download Solution PDFIn triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 cm2. What is the area (in cm2) of triangle FGE?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Area of triangle ABC = 156 cm2
AD, BE and CF are the medians intersecting at point G
Therefore, Area of triangle joining the points D, E and F would be 1/4th of triangle ABC
Area of triangle DEF = (1/4) × 156 = 39 cm2
Now, G will also be the centroid of triangle.
Area of triangle FGE = Area of triangle DFG = Area of triangle DGE = (1/3) × Area of triangle DEF
∴ Area of triangle FGE = (1/3) × 39 = 13cm2
∴ The correct answer is option (1).
Last updated on Jun 13, 2025
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