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SSC GD 2024 PYQ — Question 43

SSC GD Const (English) - 22 Feb 2024 - Shift 3 • Quantitative Aptitude • Q43

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Find the sides of an equilateral triangle whose area is 16√3 cm².

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 8cm. .

A = s234\frac{s^2 \sqrt{3}}{4}

A = (163)( 16\sqrt{3} ) cm2

⇒ s234=163\frac{s^2 \sqrt{3}}{4} = 16\sqrt{3}

⇒ s24\frac{s^2}{4}  = 16

⇒ s2 = 64

⇒s = 64\sqrt{64} = 8 cm .