The area of an equilateral triangle

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The area of an equilateral triangle is 36\(\sqrt {3}\) cm². The length of each sides of the triangle?

Options:

12 cm

10 cm

8 cm

6 cm

Correct Answer:

12 cm

Explanation:

Area of equilateral = \(\frac{\sqrt {3}}{4}\) (side)²

⇒ 36\(\sqrt {3}\) = \(\frac{\sqrt {3}}{4}\) a²

⇒ a = \(\sqrt {36 × 4}\) = 12 cm