document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148>Question 148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the keysteps to prove the following geometry problem?\r<BR>\n" );
document.write( "\n" );
document.write( "FIND THE RADIUS OF THE CIRCLE INSCRIBED IN THE TRIANGLE ABC.<BR>\n" );
document.write( "GIVEN: AC=BC=12 AB=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185752 by </B><A HREF=/tutors/aboutme.mpl?userid=rfadrogane><B>rfadrogane(214)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rfadrogane><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=rfadrogane><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The radius of the circle inscribed can be calculated by the formula r = A/s<BR>\n" );
document.write( "where: A - area of the triangle that be solve by Hero's formula<BR>\n" );
document.write( " s - the semi-perimeter (a+b+c)/2 <BR>\n" );
document.write( " a,b & c are the sides of the triangle.<BR>\n" );
document.write( " <BR>\n" );
document.write( "so, by calculation: s = (12+12+8)/2 = 16<BR>\n" );
document.write( " A = sq.rt.[s(s-a)(s-b)(s-c)]<BR>\n" );
document.write( "   = sq. rt.[16(16-12)(16-12)(16-8)]<BR>\n" );
document.write( "   = 45.255 unit square\r<BR>\n" );
document.write( "\n" );
document.write( "thus, <BR>\n" );
document.write( "   r = 45.255/16<BR>\n" );
document.write( "   r = 2.83 unit -- answer </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );