document.write( "Question 1110559: Circle O has a radius of 12. Points A and B are on the circle forming radii OA and OB. What is the length of line AB if measure of angle AOB = 120?\r
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document.write( "The answer is 12 square root of 3\r
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document.write( "Can somebody explain to me how to get to the answer.
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document.write( "Thanks! \n" );
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Algebra.Com's Answer #725560 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Triangle AOB is isosceles, because AO and OB are radii of the circle. \n" ); document.write( "Let C be the point on AB such that OC is the perpendicular bisector of AB. \n" ); document.write( "Then triangles AOC and BOC are 30-60-90 right triangles, with OC the short leg. \n" ); document.write( "That means OC=6; then AC = BC = 6*sqrt(3), so AB = 12*sqrt(3). \n" ); document.write( " |