D, E, F are the mid points of the sides AB, AC, BC of Equilateral triangle ABC respectively and G is its centroid. The lines joining GA, GB, GC meets DE¯,DF¯ & FE¯ at A1,B1,C1. If Δ is the area ofΔleABC, then which of the following options is /are correct ?

G is common for all triangles ΔDEF = ADE--= Δ4 GAB = GBC = GCA = Δ3

D, E, F are the mid points of the sides AB, AC, BC of Equilateral triangle ABC respectively and G is its centroid. The lines joining GA, GB, GC meets DE¯,DF¯ & FE¯ at A1,B1,C1. If Δ is the area ofΔleABC, then which of the following options is /are correct ?

G is common for all triangles ΔDEF = ADE--= Δ4 GAB = GBC = GCA = Δ3

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D, E, F are the mid points of the sides AB, AC, BC of Equilateral triangle $A B C$ respectively and G is its centroid. The lines joining GA, GB, GC meets $\bar{D E}, \bar{D F}$ & $\bar{F E}$ at $A^{1}, B^{1}, C^{1}$ . If $Δ$ is the area of $Δ^{l e} A B C$ , then which of the following options is /are correct ?

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Area of $G A^{1} D B^{1}$ is $\frac{Δ}{12}$

Area of ADE: area of DBCE is 1:3

Area of ADE: Area of $Δ G B C$ is 3:4

Area of $A^{1} B^{1} C^{1}$ is $\frac{Δ}{16}$

answer is A, B, C, D.

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G is common for all triangles $Δ$ DEF = ADE--= $\frac{Δ}{4}$
GAB = GBC = GCA = $\frac{Δ}{3}$

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D, E, F are the mid points of the sides AB, AC, BC of Equilateral triangle ABC respectively and G is its centroid. The lines joining GA, GB, GC meets DE¯,DF¯ & FE¯ at A1,B1,C1. If Δ is the area ofΔleABC, then which of the following options is /are correct ?

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