Consider the two equiangular triangles ABC and DEF having medians as AL and DM respectively as shown in figure below. <img src="https://cracku.in/media/uploads/137697.png" />Choose the correct option for the above situation. ?->(Show Answer!)

1. Consider the two equiangular triangles ABC and DEF having medians as AL and DM respectively as shown in figure below. Choose the correct option for the above situation.

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By: anil on 05 May 2019 02.03 am

It is given that $$ riangle$$ ABC and $$ riangle$$ DEF are equiangular triangles, thus corresponding angles are equal. => $$ riangle$$ ABC $$sim riangle$$ DEF => Ratio of perimeter = $$frac{AB}{DE}=$$ $$frac{BC}{EF}=$$ $$frac{AC}{DF}$$ -------------(i) Since, AL and DM are medians, => Ratio of perimeter of $$ riangle$$ ABC to $$ riangle$$ DEF = $$frac{AL}{DM}$$ -----------(ii) From, equations (i) and (ii), we get : => $$frac{BC}{EF}=frac{AL}{DM}$$ => Ans - (B)

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