Well known math problem

[kate]

We have the triangle [tex]\Delta ABC[/tex]. The squares [tex]ACMN[/tex] and [tex]BCPQ[/tex] are build out of the triangle on the sides [tex]AC[/tex] and [tex]BC[/tex] respectively.
Prove that the height in the triangle [tex]\Delta ABC[/tex] is median in the triangle [tex]\Delta MCQ[/tex], and the opposite is true too.

[Guest]

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