document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600414>Question 600414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey i have a question! \r<BR>\n" );
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document.write( "So the sides of an AngleABC lengths are 3,4 and 5. What are the three possible values of the cosine of angle A? I am really stuck!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379321 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=379321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well assuming you have a right triangle ABC where B is the right angle, you can have two possible triangles: \r<BR>\n" );
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document.write( "AB = 3, BC = 4, AC = 5\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "AB = 4, BC = 3, AC = 5\r<BR>\n" );
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document.write( "The reason why AC is stuck at 5 is because the hypotenuse is always the longest segment of any right triangle. \r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "cos(A) = adjacent/hypotenuse = AB/AC = 3/5\r<BR>\n" );
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document.write( "which means cos(A) = 3/5\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "cos(A) = adjacent/hypotenuse = AB/AC = 4/5\r<BR>\n" );
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document.write( "which means cos(A) = 4/5\r<BR>\n" );
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document.write( "and that's about it. \r<BR>\n" );
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document.write( "So either there's a typo and you only need to find two possible values of cos(A) or this triangle isn't a right triangle.\r<BR>\n" );
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document.write( "Let's assume that there isn't a typo. This would mean that this isn't a right triangle. But this has to be a right triangle because these three values are a Pythagorean triple (also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2%2B4%5E2=5%5E2 ALIGN=MIDDLE  ALT=\"3%5E2%2B4%5E2=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >). So that's why I'm convinced that there's a typo. </SPAN>\n" );
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