document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041481>Question 1041481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The radius of a circle is 5 cm and a chord of it is at a distance of 4 cm from the center. What is the length of the chord in cm? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656448 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=656448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you draw out the picture, or use the picture given by the book, then you'd see that a right triangle forms with legs of 'x' and 4. The hypotenuse is 5.\r<BR>\n" );
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document.write( "So<BR>\n" );
document.write( "a = x<BR>\n" );
document.write( "b = 4<BR>\n" );
document.write( "c = 5\r<BR>\n" );
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document.write( "Let's use the pythagorean theorem to find x\r<BR>\n" );
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document.write( "a^2 + b^2 = c^2<BR>\n" );
document.write( "x^2 + 4^2 = 5^2 ... plug in the given info; isolate x<BR>\n" );
document.write( "x^2 + 16 = 25 ... square each value<BR>\n" );
document.write( "x^2 + 16-16 = 25-16 ... subtract 16 from both sides<BR>\n" );
document.write( "x^2 + 0 = 9<BR>\n" );
document.write( "x^2 = 9<BR>\n" );
document.write( "sqrt( x^2 ) = sqrt( 9 ) ... Apply the square root to both sides<BR>\n" );
document.write( "x = 3\r<BR>\n" );
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document.write( "The leg of 3 represents exactly half of this chord.\r<BR>\n" );
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document.write( "So 3*2 = 6 is the length of the chord\r<BR>\n" );
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document.write( "Final Answer: 6 centimeters </SPAN>\n" );
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