Question 896236
The height cuts the equilateral triangle into two 30-60-90 special triangles, both are right-triangles.  A side of the equilateral triangle is a hypotenuse.  You want to find the length of one of these sides, of length x.


{{{(x/2)^2+16^2=x^2}}}, according to Pythagorean Theorem.  The short side of the special triangle is HALF the length of the side for the equilateral triangle.


Solve for x.