document.write( "Question 1206957: imgur.com/a/6nVwylD \n" ); document.write( "

Algebra.Com's Answer #844692 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Triangle WAR is a right-angled triangle with one leg 28 units (AR).\r\n" );
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document.write( "The other leg,  WA,  is  WA = CW + AC = 15+6 = 21 units long.\r\n" );
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document.write( "So, triangle WAR is (3,4,5) right angled triangle (since 21:28 = 3:4).\r\n" );
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document.write( "Triangle WDC is a right-angled triangle, similar to triangle WAR\r\n" );
document.write( "(they have one common acute angle CWD).\r\n" );
document.write( "Hence, triangle WDC also is (3,4,5)-right-angled triangle.\r\n" );
document.write( "Its hypotenuse WC is 15 units long - hence, triangle WDC has the sides\r\n" );
document.write( "WD = 9 units and CD = 12 units.\r\n" );
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document.write( "Triangle CAO is a right-angled triangle, similar to triangle WAR\r\n" );
document.write( "(since CO is parallel to WR).\r\n" );
document.write( "Hence, triangle CAO is (3,4,5)-right-angled triangle.\r\n" );
document.write( "Its leg CA is 6 units long - hence, its hypotenuse CO is 10 units long.\r\n" );
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document.write( "Thus the sides CD and CO of the rectangle COLD are 12 and 10 units, respectively.\r\n" );
document.write( "Then its diagonal is   =  =  = 15.62049935... \r\n" );
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document.write( "ANSWER.  The length of the diagonal of rectangle COLD is  = 15.62049935... \r\n" );
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