Question : The median of an equilateral triangle is $15 \sqrt{3} \mathrm{~cm}$. What is the side of this triangle?
Option 1: 24 cm
Option 2: 18 cm
Option 3: 30 cm
Option 4: 36 cm
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 30 cm
Solution :
Length of median of the equilateral triangle = $\frac{\sqrt{3}}{2}$ × side
Let the side of the equilateral triangle be a cm.
Length of median of the triangle = $\frac{\sqrt{3}}{2}$ × a
⇒ $\frac{\sqrt{3}}{2}$ × a = 15$\sqrt{3}$
$\therefore$ a = 30 cm
Hence, the correct answer is 30 cm.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
