document.write( "Question 481538: Solve the following problem. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit In a triangle, the middle length side is 3 more than the shortest side, and the longest side is double the middle length side. The perimeter of the triangle is 45 cm.\r
\n" ); document.write( "\n" ); document.write( "Find the lengths of the sides
\n" ); document.write( "

Algebra.Com's Answer #329829 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
Let x be the shortest length. Then x+3 is the middle length, and 2(x+3) = 2x+6 is the longest side. Then,\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x + (x+3) + (2x+6) = 45\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x + 9 = 45\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4x = 36, x = 9.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The sides of the triangle are x, x+3, 2x+6, i.e. 9,12,24\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Wow, terrible problem. A triangle cannot have lengths of sides 9,12,24 (this violates the triangle inequality). Tell your teacher or professor that the problem epically fails.
\n" ); document.write( "
\n" );