What is the altitude of an equilateral t

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

What is the altitude of an equilateral triangle whose side is 44 cm?

Options:

23 $\sqrt{3}$ cm

12 $\sqrt{3}$ cm

21 $\sqrt{3}$ cm

22 $\sqrt{3}$ cm

Correct Answer:

22 $\sqrt{3}$ cm

Explanation:

(a = side of an equilateral triangle)

Altitude of an eq. triangle = $\frac{\sqrt{3}}{2}$ × a = $\frac{\sqrt{3}}{2}$ × 44 = 22 $\sqrt{3}$ cm