document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=406566>Question 406566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the number of possible triangles for each given solution.<BR>\n" );
document.write( "a)A=45, c=100, a=25<BR>\n" );
document.write( "b)B=70, c=90, b=85<BR>\n" );
document.write( "c)C=100, c=6, a=85<BR>\n" );
document.write( "d)A=60, b=4, a= 2radical3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286826 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=286826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinA%2Fa+=+sinC%2Fc ALIGN=MIDDLE  ALT=\"sinA%2Fa+=+sinC%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinC+=+%28c%2Fa%29sinA+=+4%2Asin+45+%3E+1 ALIGN=MIDDLE  ALT=\"sinC+=+%28c%2Fa%29sinA+=+4%2Asin+45+%3E+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So 0 triangles.\r<BR>\n" );
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document.write( "b)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinB%2Fb+=+sinC%2Fc ALIGN=MIDDLE  ALT=\"sinB%2Fb+=+sinC%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" >==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinC+=+%28c%2Fb%29sinB++=+0.995+%3C+1 ALIGN=MIDDLE  ALT=\"sinC+=+%28c%2Fb%29sinB++=+0.995+%3C+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so there could be one or two triangles.\r<BR>\n" );
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document.write( "c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinA%2Fa+=+sinC%2Fc ALIGN=MIDDLE  ALT=\"sinA%2Fa+=+sinC%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinA+=+%28a%2Fc%29sinC+%3E+1 ALIGN=MIDDLE  ALT=\"sinA+=+%28a%2Fc%29sinC+%3E+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So 0 triangles.\r<BR>\n" );
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document.write( "d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinA%2Fa+=+sinB%2Fb ALIGN=MIDDLE  ALT=\"sinA%2Fa+=+sinB%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinB+=+%28b%2Fa%29sinA+=++1 ALIGN=MIDDLE  ALT=\"sinB+=+%28b%2Fa%29sinA+=++1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and there's exactly 1 triangle ( a right triangle!). </SPAN>\n" );
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