document.write( "Question 479678: One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 9 feet longer than the shorter leg. Find the length of the sides of the triangle. \n" ); document.write( "
Algebra.Com's Answer #328637 by mananth(16946)![]() ![]() You can put this solution on YOUR website! the three sides of the right triangle are \n" ); document.write( "x, x+1, x+9\r \n" ); document.write( "\n" ); document.write( "x^2+(x+1)^2=(x+9)^2\r \n" ); document.write( "\n" ); document.write( "x^2+x^2+2x+1 = x^2+18x+81\r \n" ); document.write( "\n" ); document.write( "x^2-16x-80=0\r \n" ); document.write( "\n" ); document.write( "x^2-20x+4x-80=0\r \n" ); document.write( "\n" ); document.write( "x(x-20)+4(x-20)=0 \n" ); document.write( "(x-20)(x+4)=0\r \n" ); document.write( "\n" ); document.write( "x=20 which is positive \n" ); document.write( "20 21,& 29 are the sides\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |