document.write( "Question 1178013: Given that the four points A(1,2), B(2,-5), C(7,0) and D(p,q) are the vertices of rhombus ABCD. Calculate the value of p and q. Calculate the area of the rhombus. \n" ); document.write( "
Algebra.Com's Answer #807190 by mananth(16946)\"\" \"About 
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Let the vertices of a rhombus are A(1,2), B(2,-5), C(7,0) and D(p,q)
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\n" ); document.write( "\n" ); document.write( "We know that diagonals of rhombus bisect each other,\r
\n" ); document.write( "\n" ); document.write( "∴ Co-ordinates of mid-points of AC= Co-ordinates of mid-points of BD\r
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\n" ); document.write( "\n" ); document.write( "mid point of AC = (1+7)/2 , (2+0)/2
\n" ); document.write( "(4,1)\r
\n" ); document.write( "\n" ); document.write( "Mid point of BD = (p+2)/2 ,(q-5)/2\r
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\n" ); document.write( "\n" ); document.write( "4=(p+2)/2
\n" ); document.write( "p+2=8
\n" ); document.write( "p=6\r
\n" ); document.write( "\n" ); document.write( "(q-5)/2=1
\n" ); document.write( "q=7\r
\n" ); document.write( "\n" ); document.write( "D~ (6,7)\r
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