document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116742>Question 1116742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help with angles in circles!<BR>\n" );
document.write( "Here's a picture:<BR>\n" );
document.write( "https://imgur.com/prybHbW\r<BR>\n" );
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document.write( "Here are my questions:\r<BR>\n" );
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document.write( "1. If AF = 8, FB = 6, FG = 2, then what is EF?<BR>\n" );
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document.write( "2. If BC = 12 and GC = 6, what is EG?\r<BR>\n" );
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document.write( "3. What is the length of a segment whose endpoints are at (-1,4) and (3,1)?\r<BR>\n" );
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document.write( "I think I'm doing the wrong formulas to get my answer. Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731671 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=731671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "I will answer <U>question 1 only</U>.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Use the Theorem:\r\n" );
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document.write( "    If two chords intersect in the interior of a circle,  then the product the measures of the segments the intersection point \r\n" );
document.write( "    divides each chord is the same.\r\n" );
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document.write( "    See the lesson &nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Circles/The-parts-of-chords-intersecting-inside-a-circle.lesson>The parts of chords that intersect inside a circle</A> in this site. \r\n" );
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document.write( "Then you have  |AF|*|BF| = |EF|*|GF|,   or   8*6 = 2*|EF|,   which implies\r\n" );
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document.write( "|EF| = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2A6%29%2F2 ALIGN=MIDDLE  ALT=\"%288%2A6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 24 units.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "-------------------<BR>\n" );
document.write( "In this site, &nbsp;you have this free of charge online textbook on Geometry\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> \r<BR>\n" );
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document.write( "The referred lesson is the part of this online textbook under the topic &nbsp;\"<U>Properties of circles, inscribed angles, chords, secants and tangents </U>\".\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in GEOMETRY<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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document.write( "=============\r<BR>\n" );
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document.write( "The rule of this forum is \r<BR>\n" );
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document.write( "<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;One and only one problem/question per post.</H3>\r<BR>\n" );
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document.write( "Otherwise you will have a bad mixture in your brain . . . \r<BR>\n" );
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document.write( "Those who violate this rule, &nbsp;work against their better interests.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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