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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