# 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 $\lfloor HF \rfloor$.