The length of one side of an equilateral triangle is meters. Find the length of one altitude of the triangle.

Answer 1

Length of the side of the equilateral is x.

Half is x/2

pythagorean says the height is:

sqrt(x^2 - (x/2)^2) = sqrt( x^2 - (1/4)x^2) = sqrt( (3/4)x^2) = sqrt(3)/2 * x