document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933855>Question 933855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, <BR>\n" );
document.write( "I am Arun. I have problem in solving triangles. In a triangle ABC, AC is 10, BC is 0.025 and AB is 9.978. And the angle between BCA is said to be 30 degree. I need to find the other two angles. I have used the cosine law of triangles and many other methods. For each method, i am getting a different solution for these two angles CAB and CBA. Can you help me in solving this?.\r<BR>\n" );
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document.write( "Thank you. Waiting for your response. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #567099 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=567099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> check your side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >; with given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=0.025 ALIGN=MIDDLE  ALT=\"a=0.025\"   DISABLED_style= \"max-width:90%; height:auto;\" > is impossible to get real solution for angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > using law of cos:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=c%5E2%2Bb%5E2-2bc%2Acos%28A%29 ALIGN=MIDDLE  ALT=\"a%5E2=c%5E2%2Bb%5E2-2bc%2Acos%28A%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=%280.025%29%5E2=10%5E2%2B%289.978%29%5E2-%2810%29%289.978%29%2Acos%28A%29 ALIGN=MIDDLE  ALT=\"%280.025%29%5E2=10%5E2%2B%289.978%29%5E2-%2810%29%289.978%29%2Acos%28A%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=0.000625=100%2B99.560484-99.78%2Acos%28A%29 ALIGN=MIDDLE  ALT=\"0.000625=100%2B99.560484-99.78%2Acos%28A%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=0.000625=199.560484-99.78%2Acos%28A%29 ALIGN=MIDDLE  ALT=\"0.000625=199.560484-99.78%2Acos%28A%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=99.78%2Acos%28A%29=199.560484-0.000625 ALIGN=MIDDLE  ALT=\"99.78%2Acos%28A%29=199.560484-0.000625\"   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=99.78%2Acos%28A%29=199.559859 ALIGN=MIDDLE  ALT=\"99.78%2Acos%28A%29=199.559859\"   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=cos%28A%29=199.559859%2F99.78 ALIGN=MIDDLE  ALT=\"cos%28A%29=199.559859%2F99.78\"   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=cos%28A%29=1.9999986 ALIGN=MIDDLE  ALT=\"cos%28A%29=1.9999986\"   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=A=1.3169571%2Ai ALIGN=MIDDLE  ALT=\"A=1.3169571%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" >(result in radians)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=75.46%2Ai ALIGN=MIDDLE  ALT=\"A=75.46%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" > ° or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=0.0716197 ALIGN=MIDDLE  ALT=\"A=0.0716197\"   DISABLED_style= \"max-width:90%; height:auto;\" >° which is very small angle\r<BR>\n" );
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document.write( "I was trying to find angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > using side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=9.978 ALIGN=MIDDLE  ALT=\"b=9.978\"   DISABLED_style= \"max-width:90%; height:auto;\" >, side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=10 ALIGN=MIDDLE  ALT=\"c=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=30 ALIGN=MIDDLE  ALT=\"C=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > using law of sin and got these results:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+17.3+ ALIGN=MIDDLE  ALT=\"a+=+17.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  you can get angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+30 ALIGN=MIDDLE  ALT=\"C+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >° <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+9.98 ALIGN=MIDDLE  ALT=\"b+=+9.98\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+10 ALIGN=MIDDLE  ALT=\"c+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Angles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+120 ALIGN=MIDDLE  ALT=\"A+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+29.9 ALIGN=MIDDLE  ALT=\"B+=+29.9\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+30 ALIGN=MIDDLE  ALT=\"C+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "so, IF given angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+17.3+ ALIGN=MIDDLE  ALT=\"a+=+17.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or, if you trying to find angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > using side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=0.025 ALIGN=MIDDLE  ALT=\"a=0.025\"   DISABLED_style= \"max-width:90%; height:auto;\" >, side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=10 ALIGN=MIDDLE  ALT=\"c=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=30%7D%7D%2C+then+side+%7B%7B%7Bb ALIGN=MIDDLE  ALT=\"C=30%7D%7D%2C+then+side+%7B%7B%7Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.0216 ALIGN=MIDDLE  ALT=\"10.0216\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "results are as following:<BR>\n" );
document.write( "Sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+0.025+ ALIGN=MIDDLE  ALT=\"a+=+0.025+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+10.0216+ ALIGN=MIDDLE  ALT=\"b+=+10.0216+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+10+ ALIGN=MIDDLE  ALT=\"c+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Angles:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+0.0716197 ALIGN=MIDDLE  ALT=\"A+=+0.0716197\"   DISABLED_style= \"max-width:90%; height:auto;\" >°......I wouldn't prefer this solution because the angle is very, very small <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+149.928 ALIGN=MIDDLE  ALT=\"B+=+149.928\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+30 ALIGN=MIDDLE  ALT=\"C+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "when you got right sides length, would be possible to find real solutions for angles \r<BR>\n" );
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document.write( " </SPAN>\n" );
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