The diagonals of a rhombus are along the line y=x and y=-x.Area of rhombus square root 2 sq. units.One vertex is (1,1), find other three vertices.

Dear Karthik, 

the diagonals of a rhombus bisect each other perpendicularly. let A(1,1), B,C,D, be the four vertices. C is given by (-1,-1). let O be origin. (1/2)*AC*OD=√2/2, OD=1/2 units. Thus D is (-1/2√2,1/2√2), B is (1/2√2,-1/2√2)

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