Question 208064
Show that the area of an equilateral triangle of side 2x is x^2square3, given that tan 60 degrees=square 3 
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Draw a diagram, it'll help you identify what was given and what you need to do.
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Remember, area of a triangle is (1/2)bh
where
b is base (given as 2x)
h is height
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So, we need the height.
Since tan = opposite/adjacent
our setup then:
tan(60) = h/(2x/2) = h/x
{{{sqrt(3) = h/x }}}
{{{x sqrt(3) = h }}}
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area = {{{(1/2)bh}}}
area = {{{(1/2)2x(x sqrt(3))}}}
area = {{{x^2*sqrt(3)}}}