document.write( "Question 37550: In the diagram, Circle O has a diameter of 34, AB= 16, and segment CD is perpendicular to AB. What is the length of XC?
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document.write( "There is a circle drawn with a vertical diameter. there is a chord drawn about half way down the bottom half of the diameter. and XC is from the middle of the chord to C at the bottom of the circle \n" );
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Algebra.Com's Answer #25682 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! In the diagram, Circle O has a diameter of 34, AB= 16, and segment CD is perpendicular to AB. What is the length of XC? \n" ); document.write( "There is a circle drawn with a vertical diameter. there is a chord drawn about half way down the bottom half of the diameter. and XC is from the middle of the chord to C at the bottom of the circle \n" ); document.write( "UNDERSTAND THAT O IS CENTRE OF CIRCLE WITH 34 DIA. \n" ); document.write( "AB IS A HORIZONTAL CHORD OF 16 LENGTH.X IS MID POINT OF AB \n" ); document.write( "CXOD IS A VERTICAL DIAMETER.TO FIND CX?...IF SO THEN.... \n" ); document.write( "OC=34/2=17 \n" ); document.write( "IN RIGHT TRIANGLE OAX \n" ); document.write( "OA^2=OX^2+AX^2 \n" ); document.write( "17^2=OX^2+8^2 \n" ); document.write( "OX^2=17^2-8^2=289-64=225 \n" ); document.write( "OX=15 \n" ); document.write( "HENCE XC=OC-OX=17-15=2 \n" ); document.write( " |