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) (Show Source): You can put this solution on YOUR website!
The area of an equilateral triangle as a function of the measure of one of its sides is:
\ =\ \frac{s^2\sqrt{3}}{4})
The perimeter of an equilateral triangle as a function of the measure of one of its sides is:
\ =\ 3s)
Since the perimeter is given as 9, the measure of one of the sides must be 3, hence:
\ =\ \frac{3^2\sqrt{3}}{4}=\ \frac{9\sqrt{3}}{4})
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
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