document.write( "Question 1087174: A chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre \n" ); document.write( "
Algebra.Com's Answer #701478 by ikleyn(52781)\"\" \"About 
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document.write( "0.  First make a sketch.\r\n" );
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document.write( "    Find two right-angled triangles in the sketch.\r\n" );
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document.write( "    Then apply the Pythagorean theorem to these triangles.\r\n" );
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document.write( "1.  Find the radius of the circle from the first condition:\r\n" );
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document.write( "    R = \"sqrt%28%2830%2F2%29%5E2+%2B+20%5E2%29\" = \"sqrt%2815%5E2+%2B+20%5E2%29\" = \"sqrt%28225+%2B+400%29\" = \"sqrt%28625%29\" = 25 cm.\r\n" );
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document.write( "2.  Then calculate the length L of the another chord:\r\n" );
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document.write( "    \"L%2F2\" = \"sqrt%28R%5E2+-+24%5E2%29\" = \"sqrt%2825%5E2-24%5E2%29\" = \"sqrt%28%2825-24%29%2A%2825%2B24%29%29\" = \"sqrt%2849%29\" = 7 cm.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. L = 2*7 = 14 cm.\r
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