document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154892>Question 1154892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two-column proof<BR>\n" );
document.write( "Given: AD is a diameter of ⊙ O;<BR>\n" );
document.write( "Dc is tangent to ⊙ O at D.<BR>\n" );
document.write( "Prove: ∆ABD ~ ∆ADC\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777486 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</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=777486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "consider the triangles\r<BR>\n" );
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document.write( "∆ABD ~ ∆ADC\r<BR>\n" );
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document.write( "<A is common in both triangles<BR>\n" );
document.write( "<ABD is right angle (( Angle in semi circle)<BR>\n" );
document.write( "<ADC is right angle (tangent perpendicular to radius)\r<BR>\n" );
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document.write( "<ABD =<∆ADC\r<BR>\n" );
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document.write( "There fore ∆ABD ~ ∆ADC. By angle angle test of similarity\r<BR>\n" );
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