document.write( "Question 233607: One side of a triangle is 2 cm shorter than the base, x. The other side is 3 cm longer that the base. What lengths of the base will allow the perimeter of the triangle to be at least 46 cm? \n" ); document.write( "
Algebra.Com's Answer #172427 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! One side of a triangle is 2 cm shorter than the base, x. The other side is 3 cm longer that the base. What lengths of the base will allow the perimeter of the triangle to be at least 46 cm? \n" ); document.write( ". \n" ); document.write( "Let x = base \n" ); document.write( "then \n" ); document.write( "x-2 = one leg \n" ); document.write( "x+3 = other leg \n" ); document.write( ". \n" ); document.write( "x + (x-2) + (x+3) >= 46 \n" ); document.write( "x + x-2 + x+3 >= 46 \n" ); document.write( "3x - 2 + 3 >= 46 \n" ); document.write( "3x + 1 >= 46 \n" ); document.write( "3x >= 45 \n" ); document.write( "x >= 9 cm \n" ); document.write( "That is the base has to be \"greater or equal\" to 9 cm \n" ); document.write( " |