SOLUTION: each side of an equilateral triangle is 8cm long. its area is

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Question 711113: each side of an equilateral triangle is 8cm long. its area is
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Area of a triangle formula is:
A=%281%2F2%29bh where:
b=base
h=length of perpendicular line from vertex to the base.
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You are given b=8, so you just need h.
Since the triangle is equilateral, all angles are 60 degrees.
Since the triangle is equilateral, all sides are 8 cm.
You can find h as follows:
sin%2860%29=h%2F8
%28sqrt%283%29%29%2F2=h%2F8
h=%288sqrt%283%29%29%29%2F2
h=4sqrt%283%29
Now that you know h, just plug it into the Area equation above to get your answer. I will leave that part to you.
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Good Luck,
tutor_paul@yahoo.com