document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712094>Question 712094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I have a triangle with an area of 80cm^2, and two sides are 19.2 and 11.3, how do I figure out the angle between the two lengths? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437745 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=437745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Guessing an acute angle, taking the longer side as the base, the shorter side multiplied by sine of the angle is the height.  Area is (1/2)(b)*h, or how I just described, Area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2819.2%29%2811.3%29sin%28x%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2819.2%29%2811.3%29sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, assuming name of the angle is x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2F2%29%2819.2%29%2811.3%29sin%28x%29=80%29 ALIGN=MIDDLE  ALT=\"highlight%28%281%2F2%29%2819.2%29%2811.3%29sin%28x%29=80%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > obtain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sine%28x%29=%282%2A80%29%2F%2819.2%2A11.3%29 ALIGN=MIDDLE  ALT=\"sine%28x%29=%282%2A80%29%2F%2819.2%2A11.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sin(x)=0.73745, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=47.5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=47.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In this picture below, the two sides of the triangle are shown, and the height is shown; but the third triangle side is not shown.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C0%2C20%2C0%2C20%2C%0D%0Aline%282%2C2%2C18%2C2%29%2C%0D%0Aline%282%2C2%2C9%2C9.4%29%2C%0D%0Ared%28line%289%2C9.4%2C9%2C2%29%29%2C%0D%0Alocate%283%2C7%2C11.3%29%2C%0D%0Alocate%288%2C1.5%2C19.2%29%2C%0D%0Alocate%283.4%2C3.4%2Cx%29%2C%0D%0Alocate%289%2C6%2C11.3sin%28x%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );