Question

If the area of an equilateral triangle is 16 root 3 cm square then find the side of the triangle

Answer 1

Given: Area of an equilateral triangle = $16\sqrt{3}$ cm square.

We know that:

Area of an equilateral triangle is given as, A = $\frac{\sqrt{3}}{4} a^{2}$ (where a is the side of the triangle).

Therefore,

$\frac{\sqrt{3}}{4} a^{2} = 16\sqrt{3}$

Using cross multiplication:

$a^{2}$ = $16\sqrt{3} * \frac{4}{\sqrt{3}}$

$a^{2}$ = 16 * 4

$a^{2}$ = 64

a = $\sqrt{64}$

a = 8

Hence, side of the triangle will be 8 cm.