document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280687>Question 280687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a given right triangle is 6 cm longer than the<BR>\n" );
document.write( "shorter leg. The length of the shorter leg is 2 cm less than that of the longer<BR>\n" );
document.write( "leg. Find the length of the three sides<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204039 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A^2+B^2=C^2<BR>\n" );
document.write( "A=X<BR>\n" );
document.write( "B=X+2<BR>\n" );
document.write( "C=X+6<BR>\n" );
document.write( "X^2+(X+2)^2=(X+6)^2<BR>\n" );
document.write( "X^2+X^2+4X+4=X^2+12X+36<BR>\n" );
document.write( "2X^2-X^2+4X-12X+4-36=0<BR>\n" );
document.write( "X^2-8X-32=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "X=(8+-SQRT[-8^2-4*1*-32])/2*1<BR>\n" );
document.write( "X=(8+-SQRT[64+128])/2<BR>\n" );
document.write( "X=(8+-SQRT192)/2<BR>\n" );
document.write( "X=(8+-13.8564)/2<BR>\n" );
document.write( "X=(8+13.8564)/2<BR>\n" );
document.write( "X=21.8564/2<BR>\n" );
document.write( "X=10.9282 ANS FOR THE SHORT SIDE.<BR>\n" );
document.write( "10.9282+2=12.9282 FOR THE LONG SIDE.<BR>\n" );
document.write( "10.9282+6=16.9282 FOR THE HYPOTENUSE.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "10.9282^2+12.9282^2=16.9282^2<BR>\n" );
document.write( "119.4256+167.13835=286.56395<BR>\n" );
document.write( "286.56395=286.56395 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );