document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182386>Question 182386</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Triangle ABC with a vertices A(0,square root of 27)  B(3,o)   C(-3,0)<BR>\n" );
document.write( "Use the distance formula to classify the triangle by its sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136986 by </B><A HREF=/tutors/aboutme.mpl?userid=tvandenberg><B>tvandenberg(45)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tvandenberg><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=136986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming by B(3,o) you meant (3,0)...\r<BR>\n" );
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document.write( "Distance is from <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;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28a%5E2%2Bb%5E2%29 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28a%5E2%2Bb%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But, that means you need to know the a and the b.  If you plotted this triangle, you'd see that AB = AC, as A is centered on the x-axis between B and C, and B and C are at the same y-value.\r<BR>\n" );
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document.write( "So, let's start with the easy one, BC = 6, since it is from -3 to 3.\r<BR>\n" );
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document.write( "So, you can either do AB or AC, I chose AB, for no real reason.\r<BR>\n" );
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document.write( "So, a and b, from the equation above are the x distance and y distance.\r<BR>\n" );
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document.write( "So, x-distance is (3-0) = 3<BR>\n" );
document.write( "y-distance = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2827%29-0 ALIGN=MIDDLE  ALT=\"sqrt%2827%29-0\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2827%29 ALIGN=MIDDLE  ALT=\"sqrt%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+sqrt%28a%5E2%2Bb%5E2%29+=+sqrt%283%5E2%2B%28sqrt%2827%29%29%5E2%29+=+sqrt%2836%29+=+6 ALIGN=MIDDLE  ALT=\"c+=+sqrt%28a%5E2%2Bb%5E2%29+=+sqrt%283%5E2%2B%28sqrt%2827%29%29%5E2%29+=+sqrt%2836%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the side are 6,6,6 which is an equilateral triangle.<BR>\n" );
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