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SSC CGL 2022 PYQ — Question 67

SSC CGL - 01 Dec 2022 - Shift 2 • Quantitative Aptitude • Q67

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If the area of the triangle ABC & DEF are x2 cm2 and y2cm2 respectively, and EF  = a cm then BC is

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Correct answer: C

Explanation

The correct answer is option 3 i.e. ax/y.

Areas of similar triangles triangle ABC and triangle DEF are x2 cm2 and y2 cm2 respectively

FF = a cm

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

As triangle ABC ~ triangle DEF

So(BC / EF)2 = Area of AABC/Area of triangle DEF

⇒ BC2 / (a2) = x2 / y2

⇒ BC / a = x / y

⇒ BC = ax / y

So, BC (in cm) is ax/y