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

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

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Question 368864: Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
6-inch apothem
A = sq. in
Answer by edjones(8007) (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
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