document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150661>Question 150661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.write true or false. multiplying each number of a Pythagorean  triple be a nonzero whole number yields another Pythagorean triple?\r<BR>\n" );
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document.write( "2. The longest side of a triangle is 13 centimeters. another side is 11 centimeters. if the triangle is obtuse. right an inequality for the range of values of the third side? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110592 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=110592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.write true or false. multiplying each number of a Pythagorean  triple be a nonzero whole number yields another Pythagorean triple?\r<BR>\n" );
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document.write( "true.<BR>\n" );
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document.write( "2. The longest side of a triangle is 13 centimeters. another side is 11 centimeters. if the triangle is obtuse. right an inequality for the range of values of the third side?\r<BR>\n" );
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document.write( "for a right triangle:<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%5E2%2Bb%5E2=13%5E2 ALIGN=MIDDLE  ALT=\"11%5E2%2Bb%5E2=13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121%2Bb%5E2=169 ALIGN=MIDDLE  ALT=\"121%2Bb%5E2=169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=48 ALIGN=MIDDLE  ALT=\"b%5E2=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4sqrt%283%29 ALIGN=MIDDLE  ALT=\"b=4sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "for an obtuse triangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2%3Cc%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2%3Cc%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%5E2%2Bb%5E2%3C13%5E2 ALIGN=MIDDLE  ALT=\"11%5E2%2Bb%5E2%3C13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121%2Bb%5E2%3C169 ALIGN=MIDDLE  ALT=\"121%2Bb%5E2%3C169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%3C48 ALIGN=MIDDLE  ALT=\"b%5E2%3C48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%3C4sqrt%283%29 ALIGN=MIDDLE  ALT=\"b%3C4sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If it is obtuse, b definitely has to be less than 4sqrt3. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%3Ca%2Bb ALIGN=MIDDLE  ALT=\"c%3Ca%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%3C11%2Bb ALIGN=MIDDLE  ALT=\"13%3C11%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3Cb ALIGN=MIDDLE  ALT=\"2%3Cb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b also must be more than 2, so that a+b>c and b+c>a.  So,\r<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3Cb%3C4sqrt%283%29 ALIGN=MIDDLE  ALT=\"2%3Cb%3C4sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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