document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=811636>Question 811636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in an isosceles  right teiangle the length of the hypotenuse is 10 units. how long is each leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488825 by </B><A HREF=/tutors/aboutme.mpl?userid=brysca><B>brysca(112)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=brysca><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/cgi-bin/show-face.mpl?user=brysca><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay so since the sides are equal to each other, you can say that both sides equal the same value, x. <BR>\n" );
document.write( "Now we use the pythagorean theorem and substitute a and b for x.<BR>\n" );
document.write( "a^2+b^2=c^2<BR>\n" );
document.write( "x^2+ x^2=10^2<BR>\n" );
document.write( "2x^2=100<BR>\n" );
document.write( "Divide by 2.<BR>\n" );
document.write( "x^2=50<BR>\n" );
document.write( "Take the square root of both sides.<BR>\n" );
document.write( "x=&#8730;50<BR>\n" );
document.write( "x=5&#8730;2\r<BR>\n" );
document.write( "\n" );
document.write( "Each side is equal to 5&#8730;2.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );