What is the area of an equilateral triangle if the side length is 12 cm?

You need to know two things to solve this.  First, you
have to remember that the area of a triangle is .5(base*height).  Second, you have to
know the Pythagorean Theorem.

Because we know that the legs
are each 12 inches, we know that the base is 12 inches.  So now we need to know the
height.

We know that one leg is 6 inches (half of 12) and
the hypotenuse is 12 inches.  So 6^2+x^2 = 12^2

36 + x^2 =
144

x^2 = 108

So the height is
the square root of 108.

Now to get the area you take.5
(12*square root of 108).