Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The centroid of an equilateral ΔXYZ is L. If XY = 12 cm, then the length of XL (in cm), is:

Options:

$5\sqrt{3}$

$4\sqrt{3}$

$2\sqrt{3}$

$3\sqrt{3}$

Correct Answer:

$4\sqrt{3}$

Explanation:

We know that,

Median of equilateral triangle = \(\frac{\sqrt {3}}{2}\) × side

We have,

Side XY = 12 cm

Median XM = \(\frac{\sqrt {3}}{2}\) × 12 = 6\(\sqrt {3}\) cm

XL = \(\frac{2}{3}\) × 6\(\sqrt {3}\)

XL = 4\(\sqrt {3}\) cm