What is the length of the side of an equ

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

What is the length of the side of an equilateral triangle, if its area is 64√3sq cm?

Options:

8 cm

16 cm

16√3 cm

8√3 cm

Correct Answer:

16 cm

Explanation:

Area = \(\frac{ \sqrt{3}}{4}\)a²

\(\frac{ \sqrt{3}}{4}\)a² = 64\(\sqrt{3}\)

a² = 64 × 4

a = \(\sqrt{64×4}\) = 16 cm