SOLUTION: Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.

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Question 369006: Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
9-inch perimeter
A = sq. in.

Answer by lefty4ever26(59)   (Show Source): You can put this solution on YOUR website!
An equilateral triangle means all the sides have the same length. So if the perimeter is 9 you would divide it by 3 to get each sides length.
So 9/3=3.
A of a triangle=(1/2)base*height
To find the height you would cut the triangle in half down the middle to get 2 right triangles. You will need to solve one of them to get the Vertical side.
The formula we are looking for a so we need to rearrange the problem to get c is the side of your triangle equal to 3. b is the 1/2 of the other side of your triangle so (3/2) Plug into the formula and solve for a.

, take the square root of both sides to solve for a

a=height.
SO to find area


Simplified


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