document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146185>Question 146185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I know what kind of triangle it will form from it's length measurements? Acute, Right, or Obtuse?<BR>\n" );
document.write( "1) 4cm, 4cm, 4cm<BR>\n" );
document.write( "2) 3cm, 4cm, 5cm<BR>\n" );
document.write( "3) 5cm, 11cm, 12cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106764 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=106764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. All sides are equal, thus by theorem all angles are equal. So 3s=180, s=60. This is acute.\r<BR>\n" );
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document.write( "2. Look at the Pythagorean Theorem. a^2+b^2=c^2. Do these sides fit? 3^2+4^2=9+16=25.. sqrt(25)=5, yes. Thus it must be a right triangle.\r<BR>\n" );
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document.write( "3. The inequality relation <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;\" > must be met if this is an obtuse triangle.\r<BR>\n" );
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document.write( "5^2+11^2=25+121=136<144. Thus it must be an obtuse triangle. </SPAN>\n" );
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