Algebra.Com's Answer #314102 by Edwin McCravy(20056)![\"\"](\"/images/stars/stars-13.gif\")  
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Kari has an analog clock, shown here, with a minute hand of length 12 in. When Kari’s clock strikes 2 o’clock, what is the area of the right triangle formed by drawing a segment from the end of the minute hand to the end of the hour hand? Express your answer in simplest radical form.
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document.write( "The angle between the hands at 2:00 is 2/12ths of 360°\r\n" );
document.write( "or 1/6th of 360° or 60° \r\n" );
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document.write( "Therefore the triangle is a 60°-30°-90° right triangle. The hypotenuse\r\n" );
document.write( "of such a right triangle is twice the shorter leg. Therefore\r\n" );
document.write( "the shorter leg is half of 12 in. or 6 in.\r\n" );
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document.write( "The green line is found by the Pythagorean theorem.\r\n" );
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document.write( " c² = a² + b²\r\n" );
document.write( "12² = 6² + b²\r\n" );
document.write( "144 = 36 + b²\r\n" );
document.write( "108 = b²\r\n" );
document.write( " b² = 108\r\n" );
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document.write( " b = √108\r\n" );
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document.write( " b = √36*3\r\n" );
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document.write( " b = 6√3\r\n" );
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document.write( "The formula for the area of a triangle is\r\n" );
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document.write( " A = ½(base)(height)\r\n" );
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document.write( "base = 6, height = 6√3\r\n" );
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document.write( " A = ½(6)(6√3)\r\n" );
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document.write( " A = 18√3 square feet.\r\n" );
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document.write( "Edwin
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