document.write( "Question 230874: A leather coin purse has the shape of a triangle. Two sides are equl 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 lengths ofthe sides.
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Algebra.Com's Answer #171035 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \r \n" ); document.write( "\n" ); document.write( "Let the two sides that are equal to each other be represented by x \n" ); document.write( "The third side will be written as 1.5x - 3. \r \n" ); document.write( "\n" ); document.write( "These sides add up to 28.5 Cm \n" ); document.write( "So an equation can be written as: \n" ); document.write( " \n" ); document.write( " x + x + 1.5x -3 = 28.5 cm\r \n" ); document.write( "\n" ); document.write( "Combine like terms: \r \n" ); document.write( "\n" ); document.write( " 3.5x - 3 = 28.5\r \n" ); document.write( "\n" ); document.write( "Add 3 to both sides:\r \n" ); document.write( "\n" ); document.write( " 3.5x = 31.5\r \n" ); document.write( "\n" ); document.write( "Divide each side by 3.5:\r \n" ); document.write( "\n" ); document.write( " x = 9\r \n" ); document.write( "\n" ); document.write( "Therefore the lengths of the sides are 9 cm, 9 cm and 10.5 cm\r \n" ); document.write( "\n" ); document.write( "RJ Toftness \n" ); document.write( "Author of \"Unlock the Mystery to Math\" \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |