document.write( "Question 666198: the longest side of a triangle is twice the length of the shortest side.The third side is four inches shorter than the longest side. Find the lengths of the sides of the triangle if the perimeter is 96 inches. Can you please help me write an equation for this problem. \n" ); document.write( "
Algebra.Com's Answer #414336 by swincher4391(1107)![]() ![]() You can put this solution on YOUR website! Let a,b,c be the sides in increasing length.\r \n" ); document.write( "\n" ); document.write( "a+b+c = 96 since the perimeter is 96.\r \n" ); document.write( "\n" ); document.write( "c = 2a\r \n" ); document.write( "\n" ); document.write( "and b = c-4\r \n" ); document.write( "\n" ); document.write( "a = c/2\r \n" ); document.write( "\n" ); document.write( "b = c-4\r \n" ); document.write( "\n" ); document.write( "c = c\r \n" ); document.write( "\n" ); document.write( "c/2 + c-4 + c = 96\r \n" ); document.write( "\n" ); document.write( "c + 2c-8 +2c = 192 (getting rid of the fraction)\r \n" ); document.write( "\n" ); document.write( "5c -8 = 192\r \n" ); document.write( "\n" ); document.write( "5c = 200\r \n" ); document.write( "\n" ); document.write( "c = 40\r \n" ); document.write( "\n" ); document.write( "a = c/2 so a = 20\r \n" ); document.write( "\n" ); document.write( "b = c-4 so c = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sides are 20,36,40, which if you notice add up to 96. \n" ); document.write( " |