Question : In an equilateral triangle ABC, D is the midpoint of side BC. If the length of BC is 8 cm, then the height of the triangle is:
Option 1: $5.5 \mathrm{~cm}$
Option 2: $4.5 \mathrm{~cm}$
Option 3: $6 \sqrt{3} \mathrm{~cm}$
Option 4: $4 \sqrt{3} \mathrm{~cm}$
Correct Answer: $4 \sqrt{3} \mathrm{~cm}$
Solution :
Given: ABC is an equilateral triangle.
D is the midpoint on side BC.
AB = BC = AC = 8 cm
We know that area of the equilateral triangle is $\frac{\sqrt3}{4}\times(\text{side})^2$
In $\triangle ABC$,
$\frac{\sqrt 3}{4}\times 8^2=\frac{1}{2}\times8\times AD$
$\therefore AD=4\sqrt3\ \text{cm}$
Hence, the correct answer is $4\sqrt3\ \text{cm}$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
