document.write( "Question 904502: the base of a triangle has the same length as a side of a square. the second side of the triangle is 2 inches longer than the base, and the third side is 6 inches longer than the base. if the perimeter of the triangle equals that of the square, find the longest side of the triangle. \n" ); document.write( "
Algebra.Com's Answer #548812 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! the base of a triangle has the same length as a side of a square. \n" ); document.write( " the second side of the triangle is 2 inches longer than the base, and the third side is 6 inches longer than the base. \n" ); document.write( " if the perimeter of the triangle equals that of the square, find the longest side of the triangle. \n" ); document.write( ": \n" ); document.write( "let x = the side of the triangle that is the also the side of the square \n" ); document.write( "then \n" ); document.write( "(x+2) = the 2nd side of the triangle \n" ); document.write( "nad \n" ); document.write( "(x+6) = the 3rd side \n" ); document.write( ": \n" ); document.write( "perimeter equation \n" ); document.write( "4x = x + (x+2) + (x+6) \n" ); document.write( "combine like terms \n" ); document.write( "4x = 3x + 8 \n" ); document.write( "4x - 3x = 8 \n" ); document.write( "x = 8 is the length of the base \n" ); document.write( "and \n" ); document.write( "8 + 6 = 14 is the length of the longest side of the triangle \n" ); document.write( " |