Question 249780
Given that a regular hexagon has 6 equilateral triangles, AO and OB are angle bisectors of the smaller triangles at the vertex O, What is AB if each side of the hexagon is 2x cm?
-----------------------
I'm not sure of the arrangement, but all bisectors' altitudes are the same for equilateral triangles.  Assuming that's what you're looking for:
{{{s^2 = (2x)^2 - x^2}}}
{{{s^2 = 3x^2}}}
{{{s = x*sqrt(3)}}} cm