document.write( "Question 226913: Given that the area of an equilateral triangle is 57 cm^2, find its perimeter.
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Algebra.Com's Answer #168798 by anantha(86)![]() ![]() ![]() You can put this solution on YOUR website! sol: \n" ); document.write( "Area of an equilateral triangle=squareroot(3)/4*a^2 \n" ); document.write( "inthe above formula a is side of an equilateral triangle \n" ); document.write( "according to the question area of an equilateral triangle=57 cm^2 \n" ); document.write( "squareroot(3)/4*a^2=57 \n" ); document.write( "multiplying both sides by 4/root(3) \n" ); document.write( "root(3)/4*4/root(3)*a^2=57*4/1.732 (root(3)=1.732) \n" ); document.write( "after cancilation \n" ); document.write( "a^2=228/1.732 \n" ); document.write( "a^2=131.63 \n" ); document.write( "a=root(131.63) \n" ); document.write( "a=11.47 \n" ); document.write( "now the perimeter of equilateral triangle=root(3)/2*a \n" ); document.write( "=1.732/2*(11.47) \n" ); document.write( "=0.866*11.47 \n" ); document.write( "=9.93cm \n" ); document.write( " \n" ); document.write( " |