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The base BC of an equilateral triangle A...

The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of point C are (0, -3). The origin is the midpoint of the base.
Find the coordinates of the points A and B. Also, find the coordinates of another point D such that ABCD is a rhombus.

A

`A (sqrt(3),0),B(0,3)`

B

`A(pm 3sqrt(3),0) ,B(3,0)`

C

`A( pm3 sqrt(3),0),B(0,3)`

D

`A(-sqrt(3),0),B(3,0)`

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