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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.

 

 Dec 17, 2021
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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.

 Dec 17, 2021

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