if A(-2,1),B(a,0), C(4,b) and D(1,2) are the vertices of parallelogram ABCD, find the values of a and b. hence find the length of its sides.
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( 4-2/2 , b+1/2) = (a+1/2 , 0+2/2)
=> 1 , b+1/2 =a+1/2 , 1
=> a+1/2 = 1 and b+1/2 = 1
=> a + 1 = 2 and b + 1 = 2
=> a = 1 and b =1
=> 1 , b+1/2 =a+1/2 , 1
=> a+1/2 = 1 and b+1/2 = 1
=> a + 1 = 2 and b + 1 = 2
=> a = 1 and b =1
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