Each side of an equilateral triangle is 3$$\sqrt3$$​ cm. Find the altitude of the triangle.

Correct option is C

Given:

The side length of the equilateral triangle is 3$$\sqrt{3}$$​ cm.

Formula Used:
The relationship between the side length s and the altitude h in an equilateral triangle is:

​$$h = \frac{\sqrt{3}}{2} \times s$$​

Solution:

h =$$\frac{\sqrt{3}}{2} \times 3\sqrt{3}$$​​

h =$$\frac{3 \times 3}{2} = \frac{9}{2} = 4.5 \, \text{cm}$$​

Thus, the altitude of the equilateral triangle is 4.5 cm.