SSC CGL 30 Aug 2015 Paper

Question : 118 of 200

Marks: +1, -0

Δ ABC is similar to Δ DEF. The ratio of their perimeters is 4 : 1. The ratio of their areas is

Solution:

ΔABC ~ ΔDEF
∴

{AB}/{DE}

{BC}/{EF}

{AC}/{DF}

{AB+BC+AC}/{DE+EF+DF}

4/1

∴

{\Area \of Δ\ABC}/{\Area \of Δ\DEF}

{AB^2}/{DE^2}

{16}/1

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