document.write( "Question 285010: Tge hypotenuse of a right triangle measures 10cm. One leg is 2 cm shorter than the other. What are the lengths of the legs? Use the quadratic formula. \n" ); document.write( "
Algebra.Com's Answer #206752 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let one leg be x\r \n" ); document.write( "\n" ); document.write( "the other leg = x-2\r \n" ); document.write( "\n" ); document.write( "x^2 + (x-2)^2= 10^2\r \n" ); document.write( "\n" ); document.write( "x^2+x^2-4x+4=100\r \n" ); document.write( "\n" ); document.write( "2x^2-4x-96=0 divide equation by 2\r \n" ); document.write( "\n" ); document.write( "x^2-2x-48=0\r \n" ); document.write( "\n" ); document.write( "x^2-8x+6x-48=0\r \n" ); document.write( "\n" ); document.write( "x(x-8)+6(x-8)=0\r \n" ); document.write( "\n" ); document.write( "(x-8)(x+6)=0\r \n" ); document.write( "\n" ); document.write( "x=8 0r -6\r \n" ); document.write( "\n" ); document.write( "So x is 8 which is a positive value \n" ); document.write( " |