SSC CGL 2016 PYQ — Question 50

SSC CGL Tier II Quant - 30/11/2016 • Quantitative Aptitude • Q50

The height of an equilateral triangle is 18 cm. Its area is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 108√3 sq. cm

Suppose the side of equilateral triangle = a cm

Height of the equilateral triangle:

h = 18 cm

⇒ √3a/2 = 18

⇒ a = 12√3 cm

Required Area = √3a2/4

 = (√3/4)(12√3)2

 = 108√3 cm2