SSC CGL 2016 PYQ — Question 76

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q76

ΔABC is similar to ΔDEF. If area of ΔABC is 9 sq.cm. and area of ΔDEF is 16 sq.cm. and BC = 2.1 cm, then the length of EF will be:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 2.8 cm

If triangle are similar then:

Area of ΔABC : Area of ΔDEF = BC2 : EF2

⇒ 9 : 16 = BC2 : EF2

⇒ 3 : 4 = BC : EF

⇒ EF = 4/3 × 2.1 = 2.8 cm