SSC CHSL 23 March 2018 Evening Shift Question 6

Question 6

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.

Solution

It is given that $$\triangle$$ ABC and $$\triangle$$ DEF are equiangular triangles, thus corresponding angles are equal.

=> $$\triangle$$ ABC $$\sim\triangle$$ DEF

=> Ratio of perimeter = $$\frac{AB}{DE}=$$ $$\frac{BC}{EF}=$$ $$\frac{AC}{DF}$$ -------------(i)

Since, AL and DM are medians, => Ratio of perimeter of $$\triangle$$ ABC to $$\triangle$$ DEF = $$\frac{AL}{DM}$$ -----------(ii)

From, equations (i) and (ii), we get :

=> $$\frac{BC}{EF}=\frac{AL}{DM}$$

=> Ans - (B)



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