document.write( "Question 1132905: Find the area of an equilateral triangle (regular 3-gon) with the given measurement. \r
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document.write( "9-inch perimeter\r
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document.write( "A = sq. in.\r
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Algebra.Com's Answer #750057 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! All three sides of an equilateral triangle are equal, then \n" ); document.write( ": \n" ); document.write( "9/3 = 3 inches for each side \n" ); document.write( ": \n" ); document.write( "use Pythagorean Theorem to finc the height(h) \n" ); document.write( ": \n" ); document.write( "h^2 + (3/2)^2 = 3^2 \n" ); document.write( ": \n" ); document.write( "Note the height bisects the base \n" ); document.write( ": \n" ); document.write( "h^2 = 9 -9/4 = 27/4 \n" ); document.write( ": \n" ); document.write( "h = 3 * square root(3) / 2 \n" ); document.write( ": \n" ); document.write( "Area = (1/2) * 3 * (3 * square root(3) / 2) = 9 * square root(3) / 4 \n" ); document.write( ": \n" ); document.write( "**************************************** \n" ); document.write( "Area of triangle is 3.8971 square inches \n" ); document.write( "**************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |