document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193358>Question 193358</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201748827/algebrahomeworkh>Essentials of Geometry for College Students </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Triangle ACB is in inscribed in cicle o. Given: AB is diameter and CD is perpendicular to AB. Prove: (CD)^2=(AD)(DB). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145243 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28350%2C350%2C-4%2C4%2C-4%2C4%2Ccircle%280%2C0%2C3%29%2Ctriangle%28-3%2C0%2C0%2C3%2C3%2C0%29%2Clocate%28-3.2%2C0%2CA%29%2Clocate%280%2C3.3%2CC%29%2Clocate%283.2%2C0%2CB%29%2Cgreen%28line%280%2C0%2C0%2C3%29%29%2Clocate%280%2C-.3%2CD%29%2Cgreen%28line%28-.2%2C1.5%2C.2%2C1.5%29%29%2Cgreen%28line%28-1.5%2C.2%2C-1.5%2C-.2%29%29%2Cgreen%28line%281.5%2C.2%2C1.5%2C-.2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Prove: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD%5E2=%28AD%29%28AB%29 ALIGN=MIDDLE  ALT=\"CD%5E2=%28AD%29%28AB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Diameter=AB ALIGN=MIDDLE  ALT=\"Diameter=AB\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Radius=%281%2F2%29Diameter=%281%2F2%29AB ALIGN=MIDDLE  ALT=\"Radius=%281%2F2%29Diameter=%281%2F2%29AB\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can see the triangle is split into 2 Isosceles Right Triangles.<BR>\n" );
document.write( "<font color=blue>Theorem</font>:<BR>\n" );
document.write( "In an isosceles right triangle, the sides are in the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3A1%3Asqrt%282%29 ALIGN=MIDDLE  ALT=\"1%3A1%3Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equal sides make the right angle.\r<BR>\n" );
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document.write( "Therefore, equal sides ---> AD=DB=CD=Radius=(1/2)(AB)\r<BR>\n" );
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document.write( "Proving: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28CD%29%5E2=%28AD%29%28DB%29 ALIGN=MIDDLE  ALT=\"%28CD%29%5E2=%28AD%29%28DB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AD%29%5E2=%28AD%29%28AD%29 ALIGN=MIDDLE  ALT=\"%28AD%29%5E2=%28AD%29%28AD%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28AD%29%5E2=%28CD%29%28DB%29 ALIGN=MIDDLE  ALT=\"%28AD%29%5E2=%28CD%29%28DB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28DB%29%5E2=%28DB%29%28DB%29 ALIGN=MIDDLE  ALT=\"%28DB%29%5E2=%28DB%29%28DB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28DB%29%5E2=%28CD%29%28AD%29 ALIGN=MIDDLE  ALT=\"%28DB%29%5E2=%28CD%29%28AD%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28CD%29%5E2=%28CD%29%28CD%29 ALIGN=MIDDLE  ALT=\"%28CD%29%5E2=%28CD%29%28CD%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28CD%29%5E2=%28AD%29%28DB%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28CD%29%5E2=%28AD%29%28DB%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; *Note: AD=DB=CD=Radius=(1/2)(AB)\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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