document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159444>Question 1159444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that <BR>\n" );
document.write( "∠A1 is smaller than ∠A2.)<BR>\n" );
document.write( "b = 128,    c = 162,    ∠B = 46° </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782472 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=782472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Solve triangle ABC. (If an answer does not exist, enter DNE)\r<BR>\n" );
document.write( "\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D ALIGN=MIDDLE  ALT=\"A%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is smaller than < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D ALIGN=MIDDLE  ALT=\"A%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+128 ALIGN=MIDDLE  ALT=\"b+=+128\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+162 ALIGN=MIDDLE  ALT=\"c+=+162\"   DISABLED_style= \"max-width:90%; height:auto;\" >, < <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+46 ALIGN=MIDDLE  ALT=\"B+=+46\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use the Cosine Rule\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28B%29+=++%28c%5E2+%2B+a%5E2+-+b%5E2%29%2F%282ca%29 ALIGN=MIDDLE  ALT=\"cos%28B%29+=++%28c%5E2+%2B+a%5E2+-+b%5E2%29%2F%282ca%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2846%29+=++%28162%5E2+%2B+a%5E2+-+128%5E2%29%2F%282%2A162a%29 ALIGN=MIDDLE  ALT=\"cos%2846%29+=++%28162%5E2+%2B+a%5E2+-+128%5E2%29%2F%282%2A162a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.694658370459=++%2826244+%2B+a%5E2+-+16384%29%2F%28324a%29 ALIGN=MIDDLE  ALT=\"0.694658370459=++%2826244+%2B+a%5E2+-+16384%29%2F%28324a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324a%2A0.694658370459=+a%5E2+%2B+9860 ALIGN=MIDDLE  ALT=\"324a%2A0.694658370459=+a%5E2+%2B+9860\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225.07a=+a%5E2+%2B+9860 ALIGN=MIDDLE  ALT=\"225.07a=+a%5E2+%2B+9860\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2-+225.07a%2B+9860=0 ALIGN=MIDDLE  ALT=\"+a%5E2-+225.07a%2B+9860=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> use quadratic formula\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=+%28-%28-225.07%29+%2B-+sqrt%28+%28-225.07%29%5E2-4%2A1%2A9860+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"a=+%28-%28-225.07%29+%2B-+sqrt%28+%28-225.07%29%5E2-4%2A1%2A9860+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%28225.07+%2B-+sqrt%28+11216.5049%29%29%2F2+ ALIGN=MIDDLE  ALT=\"a+=+%28225.07+%2B-+sqrt%28+11216.5049%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%28225.07+%2B-+105.91%29%2F2+ ALIGN=MIDDLE  ALT=\"a+=+%28225.07+%2B-+105.91%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "solutions:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%28225.07+%2B+105.91%29%2F2+ ALIGN=MIDDLE  ALT=\"a+=+%28225.07+%2B+105.91%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=+165.5 ALIGN=MIDDLE  ALT=\"a=+165.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " or \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+%28225.07+-+105.91%29%2F2+ ALIGN=MIDDLE  ALT=\"a+=+%28225.07+-+105.91%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=59.6 ALIGN=MIDDLE  ALT=\"a+=59.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D ALIGN=MIDDLE  ALT=\"A%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=59.6 ALIGN=MIDDLE  ALT=\"a+=59.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29+=++%28b%5E2+%2B+c%5E2+-+a%5E2%29%2F%282bc%29 ALIGN=MIDDLE  ALT=\"cos%28A%29+=++%28b%5E2+%2B+c%5E2+-+a%5E2%29%2F%282bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29+=++%28128%5E2+%2B+162%5E2+-+59.6%5E2%29%2F%282%2A128%2A162%29 ALIGN=MIDDLE  ALT=\"cos%28A%29+=++%28128%5E2+%2B+162%5E2+-+59.6%5E2%29%2F%282%2A128%2A162%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29+=0.9422222222222221 ALIGN=MIDDLE  ALT=\"cos%28A%29+=0.9422222222222221\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=cos%5E-1%280.9422222222222221%29 ALIGN=MIDDLE  ALT=\"A=cos%5E-1%280.9422222222222221%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=19.57 ALIGN=MIDDLE  ALT=\"A%5B1%5D=19.57\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D ALIGN=MIDDLE  ALT=\"A%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=165.5 ALIGN=MIDDLE  ALT=\"a+=165.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29+=++%28128%5E2+%2B+162%5E2+-+165.5%5E2%29%2F%282%2A128%2A162%29 ALIGN=MIDDLE  ALT=\"cos%28A%29+=++%28128%5E2+%2B+162%5E2+-+165.5%5E2%29%2F%282%2A128%2A162%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29+=+0.3674225983796296 ALIGN=MIDDLE  ALT=\"cos%28A%29+=+0.3674225983796296\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+cos%5E-1%280.3674225983796296%29 ALIGN=MIDDLE  ALT=\"A+=+cos%5E-1%280.3674225983796296%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=68.44 ALIGN=MIDDLE  ALT=\"A%5B2%5D=68.44\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "use both values of angle A to find which angle C will be your solution:\r<BR>\n" );
document.write( "\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=180-%28A%5B1%5D%2BB%29 ALIGN=MIDDLE  ALT=\"C=180-%28A%5B1%5D%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C=180-%2819.572%2B46%29 ALIGN=MIDDLE  ALT=\"+C=180-%2819.572%2B46%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=114.43 ALIGN=MIDDLE  ALT=\"C=114.43\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
document.write( "\n" );
document.write( "or<BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=180-%28A%5B1%5D%2BB%29 ALIGN=MIDDLE  ALT=\"C=180-%28A%5B1%5D%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=180-%2868.44%2B46%29 ALIGN=MIDDLE  ALT=\"C=180-%2868.44%2B46%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=65.56+ ALIGN=MIDDLE  ALT=\"C=65.56+\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so, your solution is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=59.6 ALIGN=MIDDLE  ALT=\"a=59.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+128+ ALIGN=MIDDLE  ALT=\"b+=+128+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+162 ALIGN=MIDDLE  ALT=\"c+=+162\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=19.57 ALIGN=MIDDLE  ALT=\"A=19.57\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+46 ALIGN=MIDDLE  ALT=\"B+=+46\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=114.43 ALIGN=MIDDLE  ALT=\"C=114.43\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
document.write( "\n" );
document.write( "or\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=165.5 ALIGN=MIDDLE  ALT=\"a=165.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+128+ ALIGN=MIDDLE  ALT=\"b+=+128+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+162 ALIGN=MIDDLE  ALT=\"c+=+162\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=68.44 ALIGN=MIDDLE  ALT=\"A=68.44\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+46 ALIGN=MIDDLE  ALT=\"B+=+46\"   DISABLED_style= \"max-width:90%; height:auto;\" >°<BR>\n" );
document.write( "< <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=65.56+ ALIGN=MIDDLE  ALT=\"C=65.56+\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );