document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174769>Question 174769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scalene triangle with 90, 75, abd 15 degree angles.<BR>\n" );
document.write( "Shortest side is 5 inches<BR>\n" );
document.write( "What are the other two side lengths? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129838 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Scalene triangle with 90, 75, abd 15 degree angles.<BR>\n" );
document.write( "Shortest side is 5 inches<BR>\n" );
document.write( "What are the other two side lengths?<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "It's a right triangle, so that makes it easier.<BR>\n" );
document.write( "The short side is opposite the small angle, 15º, so 5 = hyp*sin(15)<BR>\n" );
document.write( "hyp = 5/sin(15) = 19.3185...<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "The tan(15) = 5/side 3, so the 3rd side is 5/tan(15)<BR>\n" );
document.write( "Side 3 = 18.660...<BR>\n" );
document.write( "As a check use Pythagoras:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18.88%5E2+%2B+5%5E2+=+19.3185%5E2 ALIGN=MIDDLE  ALT=\"18.88%5E2+%2B+5%5E2+=+19.3185%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So it's correct. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );