document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193847>Question 1193847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Angle C is the right angle. In right △ABC with right ∠C, AD bisects ∠BAC.<BR>\n" );
document.write( "Suppose that AC = 12 and DC = 6.<BR>\n" );
document.write( "Let BD = x. Then AB = 2x. Write the length of <BR>\n" );
document.write( "BC as an expression involving x<BR>\n" );
document.write( "Use the Pythagorean Theorem to find x. Find BD and AB. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826021 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( " What you have described is impossible.  With the given measurements, it is not possible for AD to bisect angle BAC.  That doesn't have anything to do with deriving the answers you need, but it is extraneous BS you shouldn't have included with the problem.\r<BR>\n" );
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document.write( "If BD measures <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> and DC measures 6, then BC must measure <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\,+\,6\">.  Then AB is the hypotenuse, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 4x^2\ =\ (x\,+\,6)^2\ +\ 144\">\r<BR>\n" );
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document.write( "So just simplify and solve the quadratic for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> to get BD, and then calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2x\"> to get AB.\r<BR>\n" );
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document.write( "Hint:  The quadratic factors.  Second hint: One of the roots is negative, so discard it because a negative length for a line segment is absurd.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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