document.write( "Question 433341: the perimeter of a triangle is 63 centimeters. the longest side is 5 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the longest side. Find the lenghts of each side of the triangle. \n" ); document.write( "
Algebra.Com's Answer #300551 by lwsshak3(11628)\"\" \"About 
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the perimeter of a triangle is 63 centimeters. the longest side is 5 centimeters less than the sum of the other two sides. Twice the shortest side is 17 centimeters less than the longest side. Find the lenghts of each side of the triangle.
\n" ); document.write( "..
\n" ); document.write( "let x=longest side
\n" ); document.write( "let y=shortest side
\n" ); document.write( "let z=third side
\n" ); document.write( "3 equations:
\n" ); document.write( "x=y+z-5
\n" ); document.write( "2y=x-17
\n" ); document.write( "x+y+z=63
\n" ); document.write( "..
\n" ); document.write( "x-y+5=z
\n" ); document.write( "x+y-63=-z
\n" ); document.write( "add
\n" ); document.write( "2x=58
\n" ); document.write( "x=29
\n" ); document.write( "2y=x-17=29-17=12
\n" ); document.write( "y=6
\n" ); document.write( "z=63-x-y=63-41=22
\n" ); document.write( "ans
\n" ); document.write( "Long side = 29 cm
\n" ); document.write( "Short side = 6 cm
\n" ); document.write( "Third side = 22 cm \n" ); document.write( "
\n" );