Question

Side of an equilateral triangle is $16cm$, its altitude is ____________ .

Answer 1

Find the altitude of an equilateral triangle:

Equilateral triangle: If all sides of a triangle are equal then it is called an equilateral triangle.

Since it is given that the side of the equilateral triangle is $a=16cm$.

Now, it is known that the altitude of the equilateral triangle can be given as: $h=\frac{\sqrt{3}}{2}a$

So,

$$\begin{gathered} h=\frac{\sqrt{3}}{2}\left(16\right) \\ \Rightarrow h=8\sqrt{3}cm \end{gathered}$$

Hence, the altitude od an equilateral triangle is $8\sqrt{3}cm$.