Advanced Geometric Problem & Solution (Twice a week update) Now 4652 problems posted.
<Qua-2024-726>, hint
Suppose P and Q be the centroids of triangles ACB and ACD, and X be the intersection of
AC and BD, then BP=BX+XQ=PQ=DQ, AX=XC and BX=DX (BP=2PX, DQ=2QX)
ABCD is a parallelogram.
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