SOLUTION: Find the area of an equilateral triangle (regular 3-gon) with the given measurement if the apothem is 6inches

SOLUTION: Find the area of an equilateral triangle (regular 3-gon) with the given measurement if the apothem is 6inches

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Question 315581: Find the area of an equilateral triangle (regular 3-gon) with the given measurement if the apothem is 6inches

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The apothem of an equilateral triangle is,

where S is the length of the side.
The height of the triangle can be found using Pythagorean therorem,

The area of the triangle is given by,

From the apothem formula,

So then

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