document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144696>Question 144696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you were given three points on a coordinate plane and asked to determine if they were connected they formed:<BR>\n" );
document.write( "How can you determine if the lines of the tirangle are connected on a scalence triangle?\r<BR>\n" );
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document.write( "a scalene triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105442 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=105442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First thing to ask yourself is what is it about a triangle that would make it a scalene triangle.  There are three sorts of triangles: Equilateral, isoceles, and scalene.  Equilateral has 3 equal sides, isoceles has 2 equal sides, so the only thing left is a triangle with three unequal sides.\r<BR>\n" );
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document.write( "All you need to do is compute the lengths of the three lines that connect the given points.  Do this with the distance formula:\r<BR>\n" );
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document.write( "Perform this computation for each of the three pairs of points you can form from three given points.\r<BR>\n" );
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document.write( "If the sum of the two smaller lengths is equal to the longer length, then the three points are collinear and you have no triangle at all.\r<BR>\n" );
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document.write( "Assuming the points actually form a triangle, then if all three lengths are different, the triangle is scalene.  </SPAN>\n" );
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