Find the height of an equilateral triangle if its side is 6m.

As we know from the current school curriculum, the height in this type of triangles will also be the median.

Let us determine what the second leg in a right-angled triangle will equal, where the desired height is the first leg, if we know from the condition of the task that the side to which the height is drawn is 6 meters:

6: 2 = 3.

Determine how many meters the height will be equal to, applying the Pythagorean theorem:

√ (6 ^ 2 – 3 ^ 2) = √ (36 – 9) = √27 = 3√3.

Answer: It is equal to 3√3 meters.