Question

The length of the altitude of an equilateral triangle is 4 square root of 3 . Find the length of a side of the triangle.

Answer 1

`\textit{height of an equilateral triangle}\\\\ h=\cfrac{s√(3)}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ h=4√(3) \end{cases}\implies 4√(3)=\cfrac{s√(3)}{2} \\\\\\ 8√(3)=s√(3)\implies \cfrac{8√(3)}{√(3)}=s\implies 8=s`