document.write( "Question 906152: Given AC=AB+AB prove AB=BC A----B----C please help! \n" ); document.write( "
Algebra.Com's Answer #549647 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! AC=AB+AB\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AC=2*AB\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Which implies that 2 copies of AB are needed to construct AC. Since AB + BC = AC, this must mean that BC = AB or AB = BC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Think about it in reverse: say we know that AB = BC and AB + BC = AC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "we can replace BC with AB to get \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB + BC = AC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AB + AB = AC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AC = AB + AB\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which is what we start with \n" ); document.write( " |