I do not know how to solve it, could anyone give me a hint? or tell me if this question How to test whether a set of four points can form a parallelogram is useful in the solution or irrelevant?
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1have you made a Picture? there are three cases – Dr. Sonnhard Graubner Aug 05 '17 at 12:21
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Ok .... thank you for the hint @Dr.SonnhardGraubner I will make it. – Emptymind Aug 05 '17 at 12:22
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1it is $ABCD,ABDC,ADBC$ – Dr. Sonnhard Graubner Aug 05 '17 at 12:29
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How ? why? I do not understand u @Dr.SonnhardGraubner – Emptymind Aug 05 '17 at 12:59
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A parallelogram is an affine concept so you can without loss of generality look at an equilateral triangle. Draw it. – Somos Aug 05 '17 at 13:37
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As mentioned in the comment. The three given points form a $V$ of bottom $C$. The three cases are : 1) placing $D$ so $CA$ is diagonal $CB$ a side. 2) versa 1)
3) $CA$ and $CB$ are two sides.
Toni Mhax
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