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" );
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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 #54 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=54\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The way I would do it is this. Draw the triangle using side AB as a horizontal base. Draw a vertical line from the middle of AB to point C. Now, consider a point that is at height X and is located on that vertical line. Distance from X to the bottom is X. Distance from X to side AC or BC can be expressed by a simple formula (find it out). The point X where these two distances are equal, would be the center of the inscribed circle, and also its radius. Good luck. </SPAN>\n" );
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