Find the side length of an equilateral triangle whose height is 8 cm.

We are given an equilateral triangle. Based on the properties of an equilateral triangle, we write down the formula for the height:
h = a√3 / 2, where a is the side of an equilateral triangle, h is the height.
Let us express side a from this formula:
a = 2h / √3.
Substituting the height h in the formula, we find the side a:
a = (2 × 8) / √3 = 16 / √3.
Answer: the length of the side of an equilateral triangle is 16 / √3 cm.