In the diagram, triangle ABE, triangle BCE and triangle CDE are right-angled, with angle AEB=angle BEC = angle CED = 60 degrees, and AE=24. Find the length of BC.
Using the extended ratio of the sides of a 30o - 60o - 90o triangle: 1 : sqrt(3) : 2,
since AE = 24, BE = 12
since BE = 12, CE = 6.
