SSC CPO SI and ASI 2013 Paper

Question : 136 of 200

Marks: +1, -0

The areas of two similar triangles ABC and DEF are 20 cm

^{2}

and 45 cm

^{2}

, respectively. If AB = 5 cm, then DE is equal to

Solution:

(2) Since, triangles ABC and DEF are similar, ratio of areas

{ { \Area } \Δ{ABC}}/{ { \Area } \Δ {ABC}}= { {AB}^{2}}/{ {DE}^{2}}

⇒{20}/{45}= {25}/{ {DE}^{2}}

⇒{DE}=7.5 {cm}

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