Construct a triangle ABC with AB = 5.7 cm, BC = 7 cm, and median AD = 4.2 cm. In the triangle formed, draw:
(i) The locus of point P such that the area of triangle ABC equals the area of triangle PBC.
(ii) The locus of points equidistant from vertices A and B.
If the two loci intersect at point D, show that the area of triangle PBC equals the area of triangle DBC.
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