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

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

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 Geometry: Polygons Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Polygons 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