document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247498>Question 247498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: DB is perpendicular to AC, B is the midpoint of AC.<BR>\n" );
document.write( "Prove: DA is congruent to DC </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180537 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I haven't tried geometry proofs in awhile.<BR>\n" );
document.write( "so here goes.<BR>\n" );
document.write( "we have two right triangles <BR>\n" );
document.write( "dbc and dba<BR>\n" );
document.write( "we know that they are right triangles because db is perpendicualr to ac<BR>\n" );
document.write( "we know that db=db<BR>\n" );
document.write( "we also know that ba=bc since b is the midpoint of ac\r<BR>\n" );
document.write( "\n" );
document.write( "we also know that angle dba is right angle as well as angle dbc\r<BR>\n" );
document.write( "\n" );
document.write( "so we have  a right triangle with two legs that are equal therefore the hypotenuses are congruent since a^2+b^2=c^2 and we have the same legs (a and b) in both right triangles\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" );