document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498590>Question 498590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, trying to help my son  grd 8 solve a question<BR>\n" );
document.write( "the hypotenuse of a right triangle is square root of 18....what are the lenghts of the legs of the triangle ??<BR>\n" );
document.write( "that is all the info we are given. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337102 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=337102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You must have been given more information about the right triangle.<BR>\n" );
document.write( "Look!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2+=+c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2+=+c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%2818%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2+=+18 ALIGN=MIDDLE  ALT=\"c%5E2+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2+=+18 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > This equation has an infinite number of solutions unless you place some restrictions on a and b.<BR>\n" );
document.write( "Let's assume the the numbers a and b must be integers (not an unreasonable assumption), then a and b can only take on the values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a+=+3%29 ALIGN=MIDDLE  ALT=\"highlight%28a+=+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b+=+3%29 ALIGN=MIDDLE  ALT=\"highlight%28b+=+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so you'd get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2%2B3%5E2+=+18 ALIGN=MIDDLE  ALT=\"3%5E2%2B3%5E2+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2B9+=+18 ALIGN=MIDDLE  ALT=\"9%2B9+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This implies that the triangle is an isosceles right triangle.<BR>\n" );
document.write( "No other integers for a and b would work. <BR>\n" );
document.write( " </SPAN>\n" );
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