document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=862732>Question 862732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what type of triangle is a triangle with the sides lengths of 37,12 and 34? <BR>\n" );
document.write( "     thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519917 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=519917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Check first for a fit to Pythagorean Theorem relationship.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%5E2 ALIGN=MIDDLE  ALT=\"37%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > versus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%5E2%2B34%5E2 ALIGN=MIDDLE  ALT=\"12%5E2%2B34%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1369 versus 1300 are not equal.\r<BR>\n" );
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document.write( "Maybe not the best way, but workable:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2-2ab%2Acos%28s%29=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2-2ab%2Acos%28s%29=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=-2ab%2Acos%28s%29=c%5E2-a%5E2-b%5E2 ALIGN=MIDDLE  ALT=\"-2ab%2Acos%28s%29=c%5E2-a%5E2-b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28cos%28s%29=%28a%5E2%2Bb%5E2-c%5E2%29%2F%282ab%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28cos%28s%29=%28a%5E2%2Bb%5E2-c%5E2%29%2F%282ab%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Is the angle opposite the 37 greater than 90 degrees?  c=37.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28s%29=%2812%5E2%2B34%5E2-37%5E2%29%2F%282%2A12%2A34%29 ALIGN=MIDDLE  ALT=\"cos%28s%29=%2812%5E2%2B34%5E2-37%5E2%29%2F%282%2A12%2A34%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28s%29=%28-69%29%2F%28816%29 ALIGN=MIDDLE  ALT=\"cos%28s%29=%28-69%29%2F%28816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Obviously a small negative number, so s is in quadrant number 2, meaning s is like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%3Cs%3C180 ALIGN=MIDDLE  ALT=\"90%3Cs%3C180\"   DISABLED_style= \"max-width:90%; height:auto;\" > using degrees measure.  Angle s is obtuse.\r<BR>\n" );
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document.write( "ANSWER:   OBTUSE TRIANGLE.<BR>\n" );
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