If an equilateral triangle has an altitude of 4.12 cm, how many cm long is one of its sides?

Answer 1

If the length of one of its sides is x.
Then x/2 is half the side.
An altitude divides the equilateral triangle into two congruent right triangles, each with half of one side (x/2) as the short side, the altitude as the long side, and the side (x) as the hypotenuse.
So by using Pythagoras Theorem, we have

(x/2)² + 4.12²= x²
Solve for x.

Answer 2

Thank you!

Answer 3

You're welcome!