document.write( "Question 302517: the altitude is 5 less than the base. the area is 42 sq.inches. find the base and altitude \n" ); document.write( "
Algebra.Com's Answer #216907 by mananth(16949) You can put this solution on YOUR website! let the base be x\r \n" ); document.write( "\n" ); document.write( "altitude = x-5\r \n" ); document.write( "\n" ); document.write( "Area of triangle = 1/2 * base * altitude\r \n" ); document.write( "\n" ); document.write( "=1/2 *x*(x-5) = 42\r \n" ); document.write( "\n" ); document.write( "x^2-5x=84\r \n" ); document.write( "\n" ); document.write( "x^2-5x-84=0\r \n" ); document.write( "\n" ); document.write( "x^2-12x+7x-84=0\r \n" ); document.write( "\n" ); document.write( "x(x-12)+7(x-12)=0\r \n" ); document.write( "\n" ); document.write( "(x-12)(x+7)=0\r \n" ); document.write( "\n" ); document.write( "x=12 OR x=-7\r \n" ); document.write( "\n" ); document.write( "So the base is 12\r \n" ); document.write( "\n" ); document.write( "Altitude = 12-5=7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |