document.write( "Question 635969: The third side of a triangle is 4 inches longer than the shortest side and 2 inches smaller than the longest side. If the perimeter of the triangle is 31 inches, what is the length of each side? \n" ); document.write( "
Algebra.Com's Answer #400670 by sachi(548)![]() ![]() You can put this solution on YOUR website! The third side of a triangle is 4 inches longer than the shortest side and 2 inches smaller than the longest side. If the perimeter of the triangle is 31 inches, what is the length of each side?\r \n" ); document.write( "\n" ); document.write( "ans:-\r \n" ); document.write( "\n" ); document.write( "let in triangle ABC sides AB \n" ); document.write( "BC=AB+4 eqn 1 \n" ); document.write( "BC=CA-2 eqn 2 \n" ); document.write( "now if BC=x\" then AB=x-4 & CA=x+2 (from above eqns) \n" ); document.write( "but AB=BC=Ca=31 \n" ); document.write( "or x-4+x+x+2=31 \n" ); document.write( "or 3x=31+4-2=33 \n" ); document.write( "x=BC=33/3=11 \n" ); document.write( "AB=11-4=7 & CA=11+2=13 ans \n" ); document.write( " |