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QUESTION
What is the area of an equilateral triangle, with apothem of 6 inches in length?
##color(white)(xx)12sqrt3##
##color(white)(xx)sqrt3/2a=h##
##=>sqrt3/2a=6## ##=>color(red)(2/sqrt3*)sqrt3/2a=color(red)(2/sqrt3*)6## ##=>a=(2color(blue)(*sqrt3))/(sqrt3color(blue)(*sqrt3))*6##
##=>a=4sqrt3##
##color(white)(xx)A=(ah)/2## ##color(white)(xxxx)=6*4sqrt3/2## ##color(white)(xxxx)=12sqrt3##
