The height in an equilateral triangle is 6 cm, find its sides.

In an equilateral triangle, the sides are equal, the height is the median and the bisector. We can calculate the side (a) using the height (h), knowing that h = (a * √3) /2. Since the height is known to us, then we get, that 6 = (a * √3) / 2, hence a = (2 * 6) / √ 3 = 18 / √3 = we transform the expression, we get 18 * (√3) / 3, reducing, we get the final answer 6 * √ 3 or √108.