Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The altitude of an equilateral triangle having perimeter 18 m, is

Options:

$3\sqrt{3}$ m

$4\sqrt{3}$ m

$\frac{\sqrt{3}}{4}$ m

$5\sqrt{3}$ m

Correct Answer:

$3\sqrt{3}$ m

Explanation:

Perimeter of a equilateral triangle = 18m

then the side = \(\frac{18}{3}\) = 6m

Altitude of the triangle = \(\frac{\sqrt {3}}{2}\) × (side)

= \(\frac{\sqrt {3}}{2}\) × (6) = $3\sqrt{3}$ m