Question

find the length of the side of an equilateral triangle whose area is a ​9√3cm²

Answer 1

Dear Student,


$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{an}\mathrm{equilateral}\mathrm{triangle}=9\sqrt{3}{\mathrm{cm}}^2 \\ \frac{\sqrt{3}}{4}{\mathrm{a}}^2=9\sqrt{3} \\ {\mathrm{a}}^2=36 \\ \mathrm{a}=6\mathrm{cm}. \\ \mathrm{Length}\mathrm{of}\mathrm{side}\mathrm{of}\mathrm{equilateral}\mathrm{triangle}\mathrm{is}6\mathrm{cm}. \end{gathered}$$

Regards