SOLUTION: how do you find the area of an equilateral triangle (regular 3-gon) with the given measurementif the perimeter is 9-inch?

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Question 315577: how do you find the area of an equilateral triangle (regular 3-gon) with the given measurementif the perimeter is 9-inch?
Answer by solver91311(24713) About Me  (Show Source):
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The area of an equilateral triangle as a function of the measure of one of its sides is:



The perimeter of an equilateral triangle as a function of the measure of one of its sides is:



Since the perimeter is given as 9, the measure of one of the sides must be 3, hence:



Which is the simplest form of the exact answer. If you need a numeric approximation, get out your calculator. Round to the nearest square inch because the given measurement is to the nearest inch.

John