Question

What is the area of the triangle below with a side length of 4

Answer 1

All angles of triangles is equal means that that triangle is equailateral triangle with side of a = 4 in.

The formula for the area of equilateral triangle is,

`A=\frac{\sqrt[]{3}a^2}{4}`

Substitute 4 for a in the formula to determine the area of the triangle.

`\begin{gathered} A=\frac{\sqrt[]{3}}{4}\cdot(4)^2 \\ =4\sqrt[]{3} \end{gathered}`

So area of triangle is,

`4\sqrt[]{3}`