Question

The length of each side of an equilateral triangle is $2\sqrt{3}\mathrm{cm}$. Its altitude is
(a) $\frac{3}{2}$ cm
(b) 3 cm
(c) $\frac{\sqrt{3}}{4}$ cm
(d) $\frac{\sqrt{3}}{2}$ cm

Answer 1

(b) 3 cm

Let the length of each side of the equilateral triangle be $a\mathrm{cm}$.

∴ Height of the equilateral triangle $=\frac{\sqrt{3}}{2}a=\frac{\sqrt{3}}{2}\times 2\sqrt{3}=3\mathrm{cm}$