document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=573849>Question 573849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the following triangles with these lengths for sides? Are they right triangles, acute triangles, or obtuse triangles?\r<BR>\n" );
document.write( "\n" );
document.write( "3, 4, 5<BR>\n" );
document.write( "5, 8, 10<BR>\n" );
document.write( "3, 4, 6<BR>\n" );
document.write( "3, 5, 8<BR>\n" );
document.write( "4, 5, 8<BR>\n" );
document.write( "4, 5, 10<BR>\n" );
document.write( "6, 8, 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368898 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "First check to see if you have a triangle at all.  Add the two short dimensions.  If the sum is STRICTLY GREATER THAN the long side, then you have a triangle and you can proceed.  (If  the sum of the two short sides is equal to the third side, then you have a straight line -- not a triangle.  If the sum of the two short sides is less than the third side, then you have two short sides flapping around unable to meet in a third vertex.)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Square the measures of each of the sides and then sum the squares of the two short sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If the sum is equal to the square of the long side, then you have a right triangle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If the sum is less than the square of the long side, then you have an obtuse triangle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If the sum is greater than the square of the long side, then you have an acute triangle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Example:  3, 4, 6:  3 + 4 = 7 > 6, hence a triangle.  3 squared is 9, 4 squared is 16.  9 plus 16 is less than 6 squared (36), so you have an obtuse triangle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );