Question 702431
60/3 = 20


Each side is 20 meters.


Then you cut this side in half to get 10 meters. Draw a perpendicular line from one vertex to the midpoint of the opposite side. Call this length h (for height)


By the pythagorean theorem


h^2 + 10^2 = 20^2


h^2 + 100 = 400


h^2 = 400 - 100


h^2 = 300


h = sqrt(300)


h = sqrt(100*3)


h = sqrt(100)*sqrt(3)


h = 10*sqrt(3)


So the height or altitude is exactly 10*sqrt(3) meters long.