document.write( "Question 1127404: A rhombus has half the area of the square with the same side-length. What is the ratio of the long to short diagonal? \n" ); document.write( "
Algebra.Com's Answer #743893 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "To find the area of a rhombus use:\r
\n" ); document.write( "\n" ); document.write( "\"A=%281%2F2%29d%5B1%5D%2Ad%5B2%5D\"\r
\n" ); document.write( "\n" ); document.write( "if the sides of a rhombus is \"x\", the area of a square is \"A=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "if the area of a rhombus equal to \"1%2F2\" the area of a square, we have\r
\n" ); document.write( "\n" ); document.write( "\"%28%281%2F2%29d%5B1%5D%2Ad%5B2%5D%29%2F2=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F4%29d%5B1%5D%2Ad%5B2%5D=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"d%5B1%5D%2Ad%5B2%5D=4x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Using Pythagoras: triangle formed bu side and half of diagonals\r
\n" ); document.write( "\n" ); document.write( "\"%28d%5B1%5D%2F2%29%5E2%2B%28d%5B2%5D%2F2%29%5E2=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"d%5B1%5D%5E2%2F4%2Bd%5B2%5D%5E2%2F4=x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"d%5B1%5D%5E2%2Bd%5B2%5D%5E2=4x%5E2\".......(2)\r
\n" ); document.write( "\n" ); document.write( "Hence the direct relation between diagonals are not possible.\r
\n" ); document.write( "\n" ); document.write( "Properties of Rhombus\r
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