document.write( "Question 191537This question is from textbook
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document.write( ": Hi.
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document.write( "In this question it asks for AB to be found.
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document.write( "It is a circle with the center point P. It has a radius of 6 and a chord AB drawn from one point to another. The chord divides the circle into a certain section and it has an arch that on the outside of it it says 120 degrees.
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document.write( "The radius is not drawn horizontally, but if it was drawn horizontally it would still be 6 and would seem to bisect the chord and then create a right triangle onto which the Pythagorean theorem could be used to find 1/2 of AB.\r
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document.write( "Thanks for your time! :) \n" );
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Algebra.Com's Answer #143784 by RAY100(1637) ![]() You can put this solution on YOUR website! a sketch would help but bear with me\r \n" ); document.write( "\n" ); document.write( "arc = 120 deg means that central angle bpa = 120 deg\r \n" ); document.write( "\n" ); document.write( "now you can do the triangle resolution as you suggested\r \n" ); document.write( "\n" ); document.write( "angle pab is now 30 deg ( (180-120) /2 ) \r \n" ); document.write( "\n" ); document.write( "pa is radius =6\r \n" ); document.write( "\n" ); document.write( "1/2 of ba is sq rt of (6^2 -3^2 ) = 5.196\r \n" ); document.write( "\n" ); document.write( "ba is 10.392\r \n" ); document.write( "\n" ); document.write( "check sin 60 deg = 5.196 / 6 = ,866 ok \n" ); document.write( " |