Final answer:
The altitude of an equilateral triangle with side length 8cm is approximately 6.93cm.
Step-by-step explanation:
An equilateral triangle has all sides and angles equal. In an equilateral triangle, the altitude is a line segment from one vertex of the triangle to the midpoint of the opposite side, forming a right angle with that side. To find the altitude of an equilateral triangle, you can use the Pythagorean theorem. Since all sides of an equilateral triangle are equal, the altitude will also be the median and angle bisector. In this case, the altitude of an equilateral triangle with side length 8cm is approximately 6.93cm.