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

## Expert Answers

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...

## See This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

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).

Approved by eNotes Editorial Team