document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899734>Question 899734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is it possible to find two legs of a triangle if you only have a hypotenuse. Both legs must be the same length </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545569 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=545569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer to the question is NO.<BR>\n" );
document.write( "If you are adding the condition that both legs are of equal length, then your question changes to , \"Is it possible to find two legs of equal length in a triangle if you know the hypotenuse?\"<BR>\n" );
document.write( "This answer becomes, YES.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The first case is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for hypotenuse length c being known.<BR>\n" );
document.write( "x and y are unknown variables.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The second case is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for hypotenuse length c being known and x=y.<BR>\n" );
document.write( "You can assign another variable to x and y, such as L=x and L=y; and then you have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2%2BL%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"L%5E2%2BL%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"2L%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2=%281%2F2%29c%5E2 ALIGN=MIDDLE  ALT=\"L%5E2=%281%2F2%29c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=c%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"L=c%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=c%2Asqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"L=c%2Asqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the result for x and for y. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );