In ∆ABC, the medians AD and BE meet at G. The ratio

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In ∆ABC, the medians AD and BE meet at G. The ratio of the areas of ∆BDG and the quadrilateral GDCE is :

Area of ∆ABD = Area of ∆ADC = Area of ∆BCE
Clearly,
Area of ∆BDG = Area of ∆CGD = Area of ∆CEG
∆BDG : ∎ GDCE = 1 : 2