document.write( "Question 872351: If one side of a parallelogram inscribed in a circle of radius 5cm is 6cm then other side is? \n" ); document.write( "

Algebra.Com's Answer #526155 by Edwin McCravy(20055) $\"\"$ $\"About$

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If one side of a parallelogram inscribed in a circle of radius 5cm is 6cm then other side is?
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document.write( "A parallelogram inscribed in a circle is always a rectangle.\r\n" );
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document.write( "I'll assume you have proved that using the fact that equal chords\r\n" );
document.write( "subtend equal arcs:\r\n" );
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document.write( "We know that the green line is 5cm because it is a radius.\r\n" );
document.write( "We know that the red line is 3cm because it is half-way across\r\n" );
document.write( "the rectangle which has side 6cm.\r\n" );
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document.write( "The answer will be the rectangle's height or 2x.\r\n" );
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document.write( "We find x by the Pythagorean theorem:\r\n" );
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document.write( "3² + x² = 5²\r\n" );
document.write( " 9 + x² = 25\r\n" );
document.write( "     x² = 16\r\n" );
document.write( "      x = 4cm\r\n" );
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document.write( "So the rectangle's height is 2x or 8cm.\r\n" );
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document.write( "Edwin

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