document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96735>Question 96735</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780395977279/algebrahomeworkh>geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> GIVEN: TRIANGLE ABC IS ISOSCELES; LINE SEGMENT CD IS THE ALTITUDE TO BASE OF LINE SEGMENT AB.\r<BR>\n" );
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document.write( "PROVE: LINE SEGMENT CD BISECTS ANGLE ACB.\r<BR>\n" );
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document.write( "I MADE THE PLAN BUT I DON'T THINK IT'S RIGHT BECAUSE I CAN NEVER FINISH THE PROBLEM CORRECTLY.\r<BR>\n" );
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document.write( "CAN YOU PLEASE PROVIDE ME WITH A PLAN.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70562 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given : triangle ABC is isosceles<BR>\n" );
document.write( "        CD is the altitude to the base of the triangle <BR>\n" );
document.write( "to Prove: Line Segment CD bisects Angle ACB ie  angle ACD = angle BCD\r<BR>\n" );
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document.write( "Proof:<BR>\n" );
document.write( "   <BR>\n" );
document.write( "   In triangles ACD and BCD <BR>\n" );
document.write( "         AC = BC              Sides of an isosceles triangle ABC<BR>\n" );
document.write( "         CD = CD              Common side of the two  triangles<BR>\n" );
document.write( "        angle ADC = BDC =90   given CD is the altitude to the base\r<BR>\n" );
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document.write( "   therefore triangle ACD is Congruent to triangle BCD  ( by the RHS theorem)<BR>\n" );
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document.write( "                                                   right angle-hypotunese-side<BR>\n" );
document.write( " therfore AD=BD <BR>\n" );
document.write( " and hence angle ACD = angle BCD  angles opposite to the equal sides are also equal </SPAN>\n" );
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