document.write( "Question 160972: My worksheet says:\r
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document.write( "In a circle whose diameter is 20 inches, a chord is 6 inches from the center. What is the length of the chord? \n" );
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Algebra.Com's Answer #118628 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! In a circle whose diameter is 20 inches, a chord is 6 inches from the center. What is the length of the chord? \n" ); document.write( ": \n" ); document.write( "Here is one way. Draw a circle, draw in the chord. See that a triangle is formed \n" ); document.write( "by length of the chord and two radii. \n" ); document.write( ": \n" ); document.write( "This triangle consists of two right triangles where: \n" ); document.write( "hypotenuse = 10\" (radius) \n" ); document.write( "one side = 6\" distance from chord to the center \n" ); document.write( "one side = 1/2 the length of the chord (x) \n" ); document.write( ": \n" ); document.write( "x^2 + 6^2 = 10^2 \n" ); document.write( "x^2 + 36 = 100 \n" ); document.write( "x^2 = 100 - 36 \n" ); document.write( "x = \n" ); document.write( "x = 8\" is half the chord, therefore the chord = 16\" \n" ); document.write( " |