How would you find the area of a regular polygon if it is a triangle and the apothem is 4?

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A regular triangle is equilateral and equiangular.  If you want to use the A = asn/2 formula to find the area of this triangle, here's what to do:1.  Draw segments from the center to the vertices - this creates three congruent, isosceles triangles with a vertex angle of 120 degrees (360/3).  2.  The apothem, 4, is the height of a 30-60-90 triangle.  Use your knowledge of going from the short leg to the long leg to find the side opposite the 60 degree angle.  This is half of the length of the side.3.  Substitute this side length, the apothem length, and the number of sides into the area formula and you have the answer.