document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=881795>Question 881795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two sides of a triangle measure 15 centimeters and 12 centimeters. The included angle measures 64 degrees. To the nearest tenth what is the length of the third side? <BR>\n" );
document.write( "I know it has something to do with trigonometry. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #532513 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=532513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two sides of a triangle measure 15 centimeters and 12 centimeters. The included angle measures 64 degrees. To the nearest tenth what is the length of the third side? <BR>\n" );
document.write( "I know it has something to do with trigonometry.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Use law of cosines to solve: c^2=a^2+b^2-2abcosx, a and b are adjacent sides to the included angle x, c=side opposite the included angle.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "for given problem:<BR>\n" );
document.write( "a=15<BR>\n" );
document.write( "b=12<BR>\n" );
document.write( "x=64&#730;<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=15^2+12^2-2*15*12cos64&#730;<BR>\n" );
document.write( "c^2=225+144-360*cos64&#730;<BR>\n" );
document.write( "c^2=369-157.81<BR>\n" );
document.write( "c^2=211.19<BR>\n" );
document.write( "c=14.53<BR>\n" );
document.write( "length of the third side? 14.53 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );