document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165697>Question 165697</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Triangle ABC is isoceles with ABis equal to AC 7.5cm and BC is 9cm. The height AD from A to BC , is 6cm. Find the area of triangle ABC. What will the height be from C to AB i.e CE   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122151 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=122151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><font size=4><b><BR>\n" );
document.write( "I'll leave the sketch with you okay, & hopefully we can follow together:<BR>\n" );
document.write( "We find first the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=%281%2F2%29bh ALIGN=MIDDLE  ALT=\"Area=%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=base=9cm ALIGN=MIDDLE  ALT=\"BC=base=9cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD=height=6cm ALIGN=MIDDLE  ALT=\"AD=height=6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29%289%29%286%29 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29%289%29%286%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=27cm%5E2 ALIGN=MIDDLE  ALT=\"A=27cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now , next is interesting in finding CE?<BR>\n" );
document.write( "We first get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=angle%28B%29 ALIGN=MIDDLE  ALT=\"angle%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by trigo function of right triangle. How?<BR>\n" );
document.write( "Since AD split the base(BC) in to half, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=side%28BD%29=9%2F2=4.5cm ALIGN=MIDDLE  ALT=\"side%28BD%29=9%2F2=4.5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > right? Same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=side%28DC%29 ALIGN=MIDDLE  ALT=\"side%28DC%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "That forms a right triangle (ADB). <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28beta%29=opp%2Fhyp=AD%2FAB=6%2F7.5=0.80 ALIGN=MIDDLE  ALT=\"sin%28beta%29=opp%2Fhyp=AD%2FAB=6%2F7.5=0.80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28beta%29=sin%5E-1%280.80%29 ALIGN=MIDDLE  ALT=\"%28beta%29=sin%5E-1%280.80%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28beta%29=53.13%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight%28%28beta%29=53.13%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now we know line CE(?) cuts line AB into half:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.5%2F2=3.75cm=BE ALIGN=MIDDLE  ALT=\"7.5%2F2=3.75cm=BE\"   DISABLED_style= \"max-width:90%; height:auto;\" >, right?<BR>\n" );
document.write( "That forms a triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BCE ALIGN=MIDDLE  ALT=\"BCE\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we'll use Cosine Law in getting line CE.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Bb%5E2-2abcos%28beta%29 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Bb%5E2-2abcos%28beta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where ---<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=BC=9cm%2Cb=BE=3.75cm%2Cc=CE%29 ALIGN=MIDDLE  ALT=\"system%28a=BC=9cm%2Cb=BE=3.75cm%2Cc=CE%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Continuing,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=9%5E2%2B3.75%5E2-2%289%29%283.75%29cos%2853.13%29 ALIGN=MIDDLE  ALT=\"c%5E2=9%5E2%2B3.75%5E2-2%289%29%283.75%29cos%2853.13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=81%2B14.0625-40.50=95.0625-40.50 ALIGN=MIDDLE  ALT=\"c%5E2=81%2B14.0625-40.50=95.0625-40.50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=sqrt%2854.5625%29 ALIGN=MIDDLE  ALT=\"c=sqrt%2854.5625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=7.38cm=CE%29 ALIGN=MIDDLE  ALT=\"highlight%28c=7.38cm=CE%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</pre>\r<BR>\n" );
document.write( "<BR>\n" );
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