SarkariPYQ

SSC Selection Post 2024 PYQ — Question 66

SSC Selection Post - Higher Secondary Level - 25 June 2024 - Shift 2 • Quantitative Aptitude • Q66

Back to paper

The area of an equilateral triangle is 2893289{{\sqrt3}}  cm2. Find the length (in cm) of its sides.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 34.

Area of an equilateral triangle = (√3 / 4) × side2 Given: Area = 289√3

So,

(√3 / 4) × side2 = 289√3

Cancel √3 from both sides:

side2 / 4 = 289

⇒ side2 = 1156

⇒ side = √1156 = 34 cm