ABC and BDE are two equilateral triangles such that D is the midpoint of BC. Ratio of the areas of triangles ABC and BDE is

Δ ABC and Δ BDE are two equilateral triangles

Let a be the side of Δ ABC

Since D is midpoint of BC

So the side of equilateral ΔBDE =

Area of equilateral Δ = (side)2

Area of Δ ABC = ………….1

Area of Δ BDE =

=

Putting value of × …………from 1

Area of Δ BDE = Area of Δ ABC

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