# SOLUTION: Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch apothem A = sq. in

Algebra ->  Algebra  -> Triangles -> SOLUTION: Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch apothem A = sq. in      Log On

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Triangles Question 368864: Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch apothem A = sq. inAnswer by edjones(7569)   (Show Source): You can put this solution on YOUR website!There are now two 30-60-90 triangles with side ratios of 1:sqrt(3):2 Let b=base b/1=6/sqrt(3) Proportion A=0.5*6*(6/sqrt(3)) =18/sqrt(3) =18/sqrt(3) * sqrt(3)/sqrt(3) Rationalize the denominator. =18sqrt(3)/3 =6sqrt(3) . Ed