document.write( "Question 433831: IF triangle abc is a right triangle and AB=x and Bc=x+1 and Ac=x+9 what are all the values of x? \n" ); document.write( "
Algebra.Com's Answer #300697 by shree840(260)![]() ![]() You can put this solution on YOUR website! Right angle triangle ABC \n" ); document.write( "ac^2=ab^2+bc^2 \n" ); document.write( "or (x+9)^2=x^2+(x+1)^2 \n" ); document.write( "or x^2+81+18x=x^2+x^2+1+2x \n" ); document.write( "or 80= X^2-16x \n" ); document.write( "or x^2-16x-80=0 \n" ); document.write( "x^2-20x+4x-80=0 \n" ); document.write( "x(x-20)+4(x-20)=0 \n" ); document.write( "(x+4)(x-20)=0 \n" ); document.write( "either x=-4 or x=20\r \n" ); document.write( "\n" ); document.write( "since x is a length it can not be negative so x=20 ANS \n" ); document.write( " |