document.write( "Question 225950: Express that area A of an equilateral triangle as a function of the perimeter P. My classmates and I have been trying to figure this out for two hours. The work is messy and complicated or I would have put it on here. \n" ); document.write( "
Algebra.Com's Answer #168404 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! if the perimeter is P, then one side is P/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "because half of the equilateral is a 30-60-90 right triangle; that makes the base P/3 and the height (P√3)/6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 1/2 * b * h = 1/2 * P/3 * (P√3)/6 = (P^2 * √3) / 36 \n" ); document.write( " |