document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=12439>Question 12439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If there was an right-angle triangle, and I wanted to find out the lengths of the 2 unknown sides, by using the pthagoreom theorem, it would be A(squared)+B(squared)=6(squared). Is it possible, if so how, to find the lengths of A and B of they were the same lengths? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6352 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=6352\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Pythagorean theorem states that, for any right-triangle:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+a%5E2+%2B+b%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+a%5E2+%2B+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where: c is the length of the hypotenuse and a & b are the lengths of the two legs.\r<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+6%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and side a = side b, then:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2+=+a%5E2+%2B+a%5E2 ALIGN=MIDDLE  ALT=\"6%5E2+=+a%5E2+%2B+a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the a^2 terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36+=+2a%5E2 ALIGN=MIDDLE  ALT=\"36+=+2a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+=+a%5E2 ALIGN=MIDDLE  ALT=\"18+=+a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818%29+=+a ALIGN=MIDDLE  ALT=\"sqrt%2818%29+=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "So each side of the right-triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818%29+=+3sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2818%29+=+3sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the hypotenuse is 6. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );