Question

The height of an equilateral triangle whose perimeter is 25 cm, is _____.

• A. $4\sqrt{3}cm$
  
• B. $3\sqrt{4}cm$
  
• C. $5\sqrt{3}cm$
  
• D. $5\sqrt{2}cm$
• E. None of these

Answer 1

The correct option is A $4\sqrt{3}cm$


$3\times \left(side\right)=24\Rightarrow side=8cm$
$\therefore$ Height of the equilateral triangle
$=\frac{\sqrt{3}}{2}\times \left(side\right)=\frac{\sqrt{3}}{2}\times 8=4\sqrt{3}cm$