Question

Find the area of an equilateral triangle if a side is 8 times the square root of 3

Answer 1

The area would be about 83.14.

You can find this by starting with the formula for the area of an equilateral triangle:

A = $\frac{\sqrt{3}}{4} S^{2}$

In this equation, A is the area and S is the side. So we'll just plug in the value.

A = $\frac{\sqrt{3}}{4} S^{2}$

A = $\frac{\sqrt{3}}{4} (8\sqrt{3})^{2}$

A = $\frac{\sqrt{3}}{4} 24$

A = 83.14