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Three medians AD, BE and CF of DABC intersect at G. The area of ∆ABC is 36 sq. cm. Then the area of ∆CGE is
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- 12 sq. cm.
- 6 sq. cm.
- 9 sq. cm.
- 18 sq. cm.
- 12 sq. cm.
Correct Option: B
Medians intersect at point G.
∴ ∆ABG = ∆BGC = ∆AGC.
GE bisects ∆CGE.
∴ ∆AGE = ∆CGE
∴ Area of ∆CGE
= | × Area of ∆ABC | |
6 |
= | × 36 = 6 sq.cm. | |
6 |