document.write( "Question 398763: I need help figuring out how to solve this question. The perimeter of a triangle is 96 inches, the shortest side is 6 inches less than it's middle side, and it's longest side measures 18 inches more than it's middle side. What are the lengths of all 3 sides. I don't have a clue how to begin. \n" ); document.write( "
Algebra.Com's Answer #282464 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The perimeter of a triangle is 96 inches, the shortest side is 6 inches less than it's middle side, and it's longest side measures 18 inches more than it's middle side. What are the lengths of all 3 sides. \n" ); document.write( ". \n" ); document.write( "Let x= middle \n" ); document.write( "then \n" ); document.write( "x-6 = shortest side \n" ); document.write( "x+18 = longest side \n" ); document.write( ". \n" ); document.write( "x + x-6 + x+18 = 96 \n" ); document.write( "3x+12 = 96 \n" ); document.write( "3x = 84 \n" ); document.write( "x = 28 inches (middle side) \n" ); document.write( ". \n" ); document.write( "shortest side: \n" ); document.write( "x-6 = 28-6 = 22 inches \n" ); document.write( ". \n" ); document.write( "longest side: \n" ); document.write( "x+18 = 28+18 = 46 inches \n" ); document.write( " |