document.write( "Question 1073300: In a rectangle, the angle between diagonals is 60°. The sum of the lengths of both diagonals and both shorter sides of the rectangle is 36 in. What are the lengths of the diagonals? \n" ); document.write( "

Algebra.Com's Answer #688127 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let ABCD be our rectangle and let O be the intersection point of its diagonals.\r\n" );
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document.write( "We are given that the angle (angles) AOD and BOC are of 60° each.\r\n" );
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document.write( "It implies that the triangle AOD is an equilateral triangle, as well as BOC is an equilateral triangle.\r\n" );
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document.write( "Should I continue from this point or everything is just clear to you ?\r\n" );
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document.write( "If you still have difficulties, let me know through the \"Thank you\" note.\r\n" );
document.write( "Then I will help you (at no charge).\r\n" );
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document.write( "In this case do not forget to include the ID number of this problem (1073300) into your message.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. The length of the diagonal is 12 inches.\r
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