document.write( "Question 874627: The sides of a rectangale are in the ratio 2:1 .The length of each side diagonal of this rectangle is 23 cm. Find the length of each side of the of the rectangle correct to 2 decimal places. \n" ); document.write( "
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Q:
\n" ); document.write( "The sides of a rectangale are in the ratio 2:1 .The length of each side diagonal of this rectangle is 23 cm. Find the length of each side of the of the rectangle correct to 2 decimal places.
\n" ); document.write( "A:
\n" ); document.write( "The side of the rectangles are 2k and k.
\n" ); document.write( "Two adjacent sides and a diagonal formed a right triangle.
\n" ); document.write( "Using Pythagorean Theorem:
\n" ); document.write( "\"%282k%29%5E2+%2B+k%5E2+=+23%5E2\"
\n" ); document.write( "\"4k%5E2+%2B+k%5E2+=+529\"
\n" ); document.write( "\"5k%5E2+=+529\"
\n" ); document.write( "\"k%5E2+=+105.8\"
\n" ); document.write( "Get the positive square root of both sides
\n" ); document.write( "k = 10.28591 and 2k = 20.57183
\n" ); document.write( "Answers: \"highlight%2810.29%29\" cm and \"highlight%2820.57%29\" cm.\r
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