Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Median of an equilateral triangle is 15$\sqrt{3}$ cm. What is the side of this triangle ?

Options:

24 cm

18 cm

30 cm

36 cm

Correct Answer:

30 cm

Explanation:

Concept Used

Length of a median of the equilateral triangle = \(\frac{√3}{2}\) x side

Calculations

Let the side of the equilateral triangle be a cm.

Length of median of the triangle = \(\frac{√3}{2}\) x a

= \(\frac{√3}{2}\) x a = 15√3

= a = 30 cm

Therefore, side is 30 cm.