Respuesta :

Correct me if I am wrong but an equilateral has the same length on each side so wouldn’t it be 6 cm?

Answer:

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

Step-by-step explanation:

We are asked to find the height of an equilateral triangle, whose side length is 6 cm.

We know that all sides of an equilateral triangle are equal.

We can find height of an equilateral triangle using formula [tex]\frac{\sqrt{3}}{2}a[/tex], where 'a' represents side length of equilateral triangle.

[tex]\frac{\sqrt{3}}{2}\cdot 6[/tex]

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

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

Therefore, the height of the equilateral triangle is [tex]3\sqrt{3}[/tex].