SSC CGL 26 Oct 2014 Shift 1 Paper

Question : 134 of 200

Marks: +1, -0

In two similar triangles ABC and MNP, if AB = 2.25 cm, MP = 4.5 cm and PN = 7.5 cm and m ∠ACB = m ∠MNP and m ∠ABC = m ∠MPN, then the length of side BC , in cm, is

4.5
3.75
4.75
3.5

Validate

Solution:

Δ ABC ~ Δ MPN
∴

{AB}/{MP}

{BC}/{PN}

⇒

{2.25}/{4.5}

{BC}/{7.5}

⇒ 4.5 × BC = 2.25 × 7.5
⇒ BC =

{2.25×7.5}/{4.5}

= 3.75 cm

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