Question #e0e4f

1 Answer
Jan 11, 2018

Side of the equilateral triangle #color(blue)(s = 22 sqrt3 = 38.1051)#

Explanation:

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Altitude #BD = 33#

#BD / BC = sin 60#

#BC = (BD) / sin 60 = 33 / (sqrt3 / 2) = 66 / sqrt 3#

Side #AB=BC=CA = s = (22 * sqrt3 * cancel(sqrt3)) / cancel(sqrt3) = color(red)(22 sqrt3)#