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If D, E and F are the mid–points of the sides of an equilateral triangle ABC, then the ratio of the area of triangle DEF and DCF is :
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- 1.1 : 1
- 1 : 1.1
- 0.9 : 1
- 1 : 1
- 1.1 : 1
Correct Option: D
BD = DC = CF = AF = AE = BE = DE = EF = DF
∆BDE ≅ ∆DCF ≅ ∆AEF ≅ ∆DEF
∴ Area of ∆DEF = Area of ∆DCF
∴ Required ratio = 1 : 1
