Question

What is the length of a side of an equilateral triangle whose altitude is 5?

Answer 1

To make things easier to understand, let's see this figure, which represents the given situation:

According to this diagram, to find x, which is the length of the side of the triangle, we can use pythagorean theorem, this way:

`\begin{gathered} x^2=((x)/(2))^2+5^2 \\ x^2=(x^2)/(4)+25 \\ x^2-(x^2)/(4)=25 \\ (3)/(4)x^2=25 \\ x^2=(25)/(3)\cdot4^{} \\ x=\sqrt[]{33.3333} \\ x=5.77 \end{gathered}`