document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81852>Question 81852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question is not from the book<BR>\n" );
document.write( "You have a square with 20 ft. sides, two people at opposite corners. How far apart are they?<BR>\n" );
document.write( "Not sure how to set this up, Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58645 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=58645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember Pythagoras!<BR>\n" );
document.write( "When you draw the diagonal (the line joining opposite corners) of a square, you divide the square into two congruent right triangles, right?<BR>\n" );
document.write( "The diagonal is the hypotenuse (we'll call this side c) while the equal sides of the square are the legs of the right triangle (we'll call these sides a and b and, because they are equal, it doesn't matter which one is a and which one is b).<BR>\n" );
document.write( "To quote Pythagoras...:\"<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;\" >\" This is known as the Pythagorean theorem.<BR>\n" );
document.write( "You know that the sides of the square (a and b) are each 20 feet long.  The Pythagorean theorem allows you to find the length of side c (the hypotenuse).\r<BR>\n" );
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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;\" >  Substitute a = 20 and b = 20.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+20%5E2+%2B+20%5E2 ALIGN=MIDDLE  ALT=\"c%5E2+=+20%5E2+%2B+20%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+400+%2B+400 ALIGN=MIDDLE  ALT=\"c%5E2+=+400+%2B+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+800 ALIGN=MIDDLE  ALT=\"c%5E2+=+800\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now take the square root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28800%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28400%2A2%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28400%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28400%29sqrt%282%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28400%29sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 400.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+20sqrt%282%29 ALIGN=MIDDLE  ALT=\"c+=+20sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >feet. This is the exact answer.\r<BR>\n" );
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document.write( "The approximate answer is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+28.3 ALIGN=MIDDLE  ALT=\"c+=+28.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >feet. (to the nearest tenth)<BR>\n" );
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