Question

The altitude of an equilateral triangle of side 8 cm is __________.

Answer 1

We know

Length of an altitude of an equilateral triangle = $\frac{\sqrt{3}}{2}$ × Side of an equilateral triangle

Side of an equilateral triangle = 8 cm (Given)

∴ Length of an altitude of an equilateral triangle = $\frac{\sqrt{3}}{2}\times 8=4\sqrt{3}\mathrm{cm}$

The altitude of an equilateral triangle of side 8 cm is $\underline{4\sqrt{3}\mathrm{cm}}$.