Respuesta :

As given by the question

There are given that the equilateral triangle

Now,

From the formula to find the altitude :

[tex]h=\frac{\sqrt[]{3}}{2}a[/tex]

Then,

Put the value of a = 8 into the above formula

So,

[tex]\begin{gathered} h=\frac{\sqrt[]{3}}{2}a \\ h=\frac{\sqrt[]{3}}{2}\times8 \\ h=4\sqrt[]{3} \end{gathered}[/tex]

Hence, the altitude of the given equilateral triangle is shown below:

[tex]4\sqrt[]{3}[/tex]