document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018155>Question 1018155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A triangle with sides 17cm, 39cm and 44cm contains an inscribed circle with circumference 13 1/5 pi cm. what is the area of part of the triangle that is outside the inscribed circle? Express your answer in terms of pi.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634375 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a circle of radius <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=circumference=2%2Api%2AR ALIGN=MIDDLE  ALT=\"circumference=2%2Api%2AR\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=pi%2AR%5E2 ALIGN=MIDDLE  ALT=\"area=pi%2AR%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so for the circle in this problem<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2AR=13%261%2F5 ALIGN=MIDDLE  ALT=\"2%2Api%2AR=13%261%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm=%2866%2F5%29%2Api ALIGN=MIDDLE  ALT=\"cm=%2866%2F5%29%2Api\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm ALIGN=MIDDLE  ALT=\"cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=33%2F5 ALIGN=MIDDLE  ALT=\"R=33%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm=6.6cm ALIGN=MIDDLE  ALT=\"cm=6.6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=pi%2A6.6cm%5E2=43.56pi ALIGN=MIDDLE  ALT=\"area=pi%2A6.6cm%5E2=43.56pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "For a triangle with side length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the area can be calculated using Heron's formula as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29 ALIGN=MIDDLE  ALT=\"area=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the semiperimeter (half the perimeter),<BR>\n" );
document.write( "calculated as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%28a%2Bb%2Bc%29%2F2 ALIGN=MIDDLE  ALT=\"s=%28a%2Bb%2Bc%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "For the triangle in the problem,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=17cm%2B39cm%2B44cm%29%2F2=100cm%2F2=50cm ALIGN=MIDDLE  ALT=\"s=17cm%2B39cm%2B44cm%29%2F2=100cm%2F2=50cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and 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;\" > , is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=sqrt%2850%2A%2850-17%29%2A%2850-39%29%2A%2850-44%29%29=sqrt%2850%2A33%2A11%2A6%29=330 ALIGN=MIDDLE  ALT=\"area=sqrt%2850%2A%2850-17%29%2A%2850-39%29%2A%2850-44%29%29=sqrt%2850%2A33%2A11%2A6%29=330\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, with the area of the triangle being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330cm%5E2 ALIGN=MIDDLE  ALT=\"330cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the area of the circle being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=43.56pi ALIGN=MIDDLE  ALT=\"43.56pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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;\" > ,<BR>\n" );
document.write( "the area of the part of the triangle that is outside the inscribed circle is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330cm%5E2-43.56pi ALIGN=MIDDLE  ALT=\"330cm%5E2-43.56pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E2=highlight%28matrix%281%2C2%2C%28330-43.56pi%29%2Ccm%5E2%29%29 ALIGN=MIDDLE  ALT=\"cm%5E2=highlight%28matrix%281%2C2%2C%28330-43.56pi%29%2Ccm%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "IF YOU REALLY HAVE TO USE THE PYTHAGOREAN THEOREM,<BR>\n" );
document.write( "you can solve the triangle as solver did for the same question posted as question number 1018159:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C250%2C-2%2C46%2C-3%2C17%2C%0D%0Agreen%28triangle%280%2C0%2C8%2C0%2C8%2C15%29%29%2Cgreen%28rectangle%288%2C0%2C8.5%2C0.5%29%29%2C%0D%0Atriangle%280%2C0%2C8%2C15%2C44%2C0%29%2Clocate%288.2%2C8%2Cgreen%28h%29%29%2C%0D%0Alocate%283.5%2C1.3%2Cx%29%2Clocate%2825%2C1.3%2C44-x%29%2C%0D%0Alocate%284%2C7.5%2C17%29%2Clocate%2825%2C7.5%2C39%29%2C%0D%0Alocate%2821.5%2C-1%2C44%29%2Carrow%2821%2C-1.8%2C0%2C-1.8%29%2Carrow%2823%2C-1.8%2C44%2C-1.8%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28h%29=sqrt%2817%5E2-x%5E2%29=sqrt%2839%5E2-%2844-x%29%5E2%29 ALIGN=MIDDLE  ALT=\"green%28h%29=sqrt%2817%5E2-x%5E2%29=sqrt%2839%5E2-%2844-x%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2817%5E2-x%5E2%29=sqrt%2839%5E2-%2844-x%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2817%5E2-x%5E2%29=sqrt%2839%5E2-%2844-x%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%5E2-x%5E2=39%5E2-%2844%5E2%2Bx%5E2-88x%29 ALIGN=MIDDLE  ALT=\"17%5E2-x%5E2=39%5E2-%2844%5E2%2Bx%5E2-88x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%5E2-x%5E2=39%5E2-44%5E2-x%5E2%2B88x%29 ALIGN=MIDDLE  ALT=\"17%5E2-x%5E2=39%5E2-44%5E2-x%5E2%2B88x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%5E2=39%5E2-44%5E2%2B88x%29 ALIGN=MIDDLE  ALT=\"17%5E2=39%5E2-44%5E2%2B88x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%5E2-39%5E2%2B44%5E2=88x%29 ALIGN=MIDDLE  ALT=\"17%5E2-39%5E2%2B44%5E2=88x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=289-1521%2B1936=88x%29 ALIGN=MIDDLE  ALT=\"289-1521%2B1936=88x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=704=88x%29 ALIGN=MIDDLE  ALT=\"704=88x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=704%2F88=8 ALIGN=MIDDLE  ALT=\"x=704%2F88=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=green%28h%29=sqrt%2817%5E2-8%5E2%29=sqrt%28289-64%29=sqrt%28225%29=15 ALIGN=MIDDLE  ALT=\"green%28h%29=sqrt%2817%5E2-8%5E2%29=sqrt%28289-64%29=sqrt%28225%29=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the area of the triangle, 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;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=44%2A15%2F2=330 ALIGN=MIDDLE  ALT=\"area=44%2A15%2F2=330\"   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=drawing%28600%2C250%2C-2%2C46%2C-3%2C17%2C%0D%0Atriangle%280%2C0%2C8%2C15%2C44%2C0%29%2C%0D%0Alocate%282.8%2C5.5%2C17%29%2Clocate%2825%2C7.5%2C39%29%2C%0D%0Alocate%2821.5%2C-1%2C44%29%2Carrow%2821%2C-1.8%2C0%2C-1.8%29%2Carrow%2823%2C-1.8%2C44%2C-1.8%29%2C%0D%0Ared%28circle%2811%2C6.6%2C6.6%29%29%2Cred%28circle%2811%2C6.6%2C0.2%29%29%2C%0D%0Ared%28line%2811%2C0%2C11%2C6.6%29%29%2Clocate%2811.2%2C4%2Cred%286.6%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );