document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937619>Question 937619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a right triangle has an area of 54 cm squared and one of the legs is 9 cm long, how would I be able to find the two acute angles???  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571020 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=571020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area = ab/2<BR>\n" );
document.write( "54 = 9b/2<BR>\n" );
document.write( "b = 2*54/9<BR>\n" );
document.write( "b = 12 cm<BR>\n" );
document.write( "---<BR>\n" );
document.write( "c = sqrt( aa + bb )<BR>\n" );
document.write( "c = sqrt( 9*9 + 12*12 )<BR>\n" );
document.write( "c = 15 cm<BR>\n" );
document.write( "---<BR>\n" );
document.write( "use law of sines to find the angles:<BR>\n" );
document.write( "a/sinA = c/sinC<BR>\n" );
document.write( "sinA/a = sinC/c<BR>\n" );
document.write( "sinA = a*sinC/c<BR>\n" );
document.write( "A = asin( a*sinC/c )<BR>\n" );
document.write( "A = asin( 9*sin(90)/15 )<BR>\n" );
document.write( "A = 36.8698976458<BR>\n" );
document.write( "B = asin( 12*sin(90)/15 )<BR>\n" );
document.write( "B = 53.1301023542<BR>\n" );
document.write( "---<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "36.8698976458 + 53.1301023542 + 90 = 180<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "the acute angles are:<BR>\n" );
document.write( "A = 36.8698976458 degrees<BR>\n" );
document.write( "B = 53.1301023542 degrees<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );