document.write( "Question 449650: A leather coin purse has the shape of a triangle. Two sides are equal in length and the third side is 3 centimeters shorter than one and one-half times the length of the equal sides. The perimeter is 28.5 centimeters. Find the length of the sides. \n" ); document.write( "
Algebra.Com's Answer #309363 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A leather coin purse has the shape of a triangle. \n" ); document.write( " Two sides are equal in length and the third side is 3 centimeters shorter than \n" ); document.write( " one and one-half times the length of the equal sides. \n" ); document.write( ": \n" ); document.write( "Let x = length of the equal sides \n" ); document.write( "then, it says, \n" ); document.write( "\"third side is 3 centimeters shorter than one and one-half times the length of the equal sides.\" therefore \n" ); document.write( "(1.5x - 3) = the 3rd side \n" ); document.write( ": \n" ); document.write( " The perimeter is 28.5 centimeters. Find the length of the sides. \n" ); document.write( "2x + (1.5x-3) = 28.5 \n" ); document.write( "3.5x = 28.5 + 3 \n" ); document.write( "3.5x = 31.5 \n" ); document.write( "x = \n" ); document.write( "x = 9 cm the length of the equal sides \n" ); document.write( "then \n" ); document.write( "1.5(9) - 3 = \n" ); document.write( "13.5 - 3 = 10.5 cm is the length of the 3rd side \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check using the perimeter \n" ); document.write( "9 + 9 + 10.5 = 28.5 \n" ); document.write( " |