document.write( "Question 609396: The hypotenuse of a right triangle is 4 cm longer than three times the length of the shortest leg. The other leg is 1 cm shorter than the hypotenuse. Determine the lengths of the three legs of the triangle \n" ); document.write( "
Algebra.Com's Answer #383697 by flame8855(424)\"\" \"About 
You can put this solution on YOUR website!
h= 4+3x
\n" ); document.write( "y=h-1=4+3x-1=3+3x
\n" ); document.write( "(4+3x)^2=x^2 +(3+3x)^2
\n" ); document.write( "16+9x^2+24x=x^2+ 9+9x^2+18x
\n" ); document.write( "x^2-6x-7=0
\n" ); document.write( "(x+1)(x-7)=0
\n" ); document.write( "x= 7
\n" ); document.write( "h=25
\n" ); document.write( "y=24\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );