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Sum of Squares

Author: karavpetr
Problem has been solved: 24 times

Русский язык | English Language



$ E, F, G, H $ are the midpoints of the sides $ AB, BC, CD, AD $ of the convex quadralateral $ ABCD $, respectively. It turned out that $AC^2+3\cdot BD^2 = 133232$, and $EG^2 + BD^2 = 45062$. Find $ \lfloor HF \rfloor $.





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