document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=613306>Question 613306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the diameter of a circle is 26 ft. long and a chord is 10 ft. long. Find the distance from the center of the circle to the chord. Show your work.<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 #385941 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=385941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw out a picture to get\r<BR>\n" );
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document.write( "Note: the diameter is 26, so the radius is 26/2 = 13. Also, the chord is bisected by the diameter, which allows us to cut that chord of 10 in half to get 2 pieces of 5.\r<BR>\n" );
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document.write( "So we can see we have a right triangle. Let's use the pythagorean theorem to solve for x\r<BR>\n" );
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document.write( "a^2+b^2 = c^2\r<BR>\n" );
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document.write( "5^2+x^2 = 13^2\r<BR>\n" );
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document.write( "25+x^2 = 169\r<BR>\n" );
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document.write( "x^2 = 169-25\r<BR>\n" );
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document.write( "x^2 = 144\r<BR>\n" );
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document.write( "x = sqrt(144)\r<BR>\n" );
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document.write( "x = 12\r<BR>\n" );
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document.write( "So the distance from the center to the chord is <font color=\"red\">12 feet</font>. </SPAN>\n" );
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