Question

What is the area of an equalateral triangle of side length x?

Answer 1

first you need to make a line that is perpendicular to one side. The diagram is shown below. then the length of the line that is perpendicular to the triangle is

`( √(3)x )/(2)`
then the area of the equilateral triangle equals to

`(1)/(2) height * base`
so the area would be

`\frac{ √(3) {x}^(2) }{4}`