To find the height of an equilateral triangle, we can use the formula:
Height (h) = (√3 / 2) * side length
In this case, the side length of the triangle is given as 6 cm. Plugging this value into the formula:
Height (h) = (√3 / 2) * 6 cm
This simplifies to:
Height (h) = 3√3 cm
To calculate the numerical value, we can approximate the value of √3 (which is about 1.732):
Height (h) ≈ 3 * 1.732 cm ≈ 5.196 cm
Therefore, the height of the equilateral triangle with a side length of 6 cm is approximately 5.2 cm.