document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154274>Question 1154274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lengths of the sides of triangle ABC are often abbreviated by writing a = BC, b = CA, and c = AB. Notice that lower-case sides oppose upper-case vertices. Suppose now that angle BCA is right, so that a2 + b2 = c2. Let F be the foot of the perpendicular drawn fromCtothehypotenuseAB. Ifa=5,b=12andc=13,whatarethelengthsofFA, FB,andFC? Doesc=FA+FB? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776845 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=similar_triangles.png\">\r<BR>\n" );
document.write( "\n" );
document.write( "Triangle ACF ~ triangle ABC\r<BR>\n" );
document.write( "\n" );
document.write( "AC/AB =AF/AC\r<BR>\n" );
document.write( "\n" );
document.write( "12/13 = AF/12  <BR>\n" );
document.write( "AF =11.08\r<BR>\n" );
document.write( "\n" );
document.write( "In BCF and BAC\r<BR>\n" );
document.write( "\n" );
document.write( "BC/AB = BF/BC\r<BR>\n" );
document.write( "\n" );
document.write( "Plug values to get BF = 1.92\r<BR>\n" );
document.write( "\n" );
document.write( "CF^2 = BF * AF   ( geometric mean property)\r<BR>\n" );
document.write( "\n" );
document.write( "Plug values to get CF = 4.61\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );