document.write( "Question 1206348: Two chords and a diameter form a triangle inside a circle. The radius is 5cm and one chord is 2cm longer than the other. Find the perimeter and area of the triangle \n" ); document.write( "

Algebra.Com's Answer #843736 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "The side which is the diameter is 10 = 5*2 cm long.\r\n" );
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document.write( "Two other sides form a right angle, since they lean on the diameter.\r\n" );
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document.write( "So, we have a right-angled triangle with the hypotenuse of 10 cm\r\n" );
document.write( "and one leg is 2 cm longer than another.\r\n" );
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document.write( "Hence, as probably you just can to guess, this triangle is (3,4,5)-triangle \r\n" );
document.write( "with the sides 6 cm, 8 cm and 10 cm.\r\n" );
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document.write( "Its perimeter is  6+8+10 = 24 cm.\r\n" );
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document.write( "Its area is  = 3*8 = 24 cm^2.\r\n" );
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