document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=911743>Question 911743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cm%5E2+ ALIGN=MIDDLE  ALT=\"+cm%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, of a right triangle that has one acute angle to twice the other, and has a hypotenuse equal to 5 cm.<BR>\n" );
document.write( "A) 6<BR>\n" );
document.write( "B) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25sqrt%283%29%2F8+ ALIGN=MIDDLE  ALT=\"+25sqrt%283%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25sqrt%283%29%2F4+ ALIGN=MIDDLE  ALT=\"+25sqrt%283%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D) 12<BR>\n" );
document.write( "E) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15sqrt%283%29%2F8+ ALIGN=MIDDLE  ALT=\"+15sqrt%283%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553317 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=553317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the smallest angle  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+alpha+ ALIGN=MIDDLE  ALT=\"+alpha+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The next larger angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Aalpha+ ALIGN=MIDDLE  ALT=\"+2%2Aalpha+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It's a right triangle so the 3rd angle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+90+ ALIGN=MIDDLE  ALT=\"+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+alpha+%2B+2%2Aalpha+%2B+90+=+180+ ALIGN=MIDDLE  ALT=\"+alpha+%2B+2%2Aalpha+%2B+90+=+180+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2Aalpha+=+90+ ALIGN=MIDDLE  ALT=\"+3%2Aalpha+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+alpha+=+30+ ALIGN=MIDDLE  ALT=\"+alpha+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Aalpha+=+60+ ALIGN=MIDDLE  ALT=\"+2%2Aalpha+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It is a 30-60-90 triangle<BR>\n" );
document.write( "The sides are in the ratios:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "The actual lengths of the sides are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2F2+ ALIGN=MIDDLE  ALT=\"+5%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%2F2%29%2Asqrt%283%29+ ALIGN=MIDDLE  ALT=\"+%285%2F2%29%2Asqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+ ALIGN=MIDDLE  ALT=\"+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%281%2F2%29%2A%28+5%2F2+%29%2A%28+5%2F2%29%2Asqrt%283%29+ ALIGN=MIDDLE  ALT=\"+A+=+%281%2F2%29%2A%28+5%2F2+%29%2A%28+5%2F2%29%2Asqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%2825%2F8%29%2Asqrt%283%29+ ALIGN=MIDDLE  ALT=\"+A+=+%2825%2F8%29%2Asqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "The answer is ( B )\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );