Question 104
On the sides of triangle $ABC$ we construct positively oriented rhombi $BAA_{1}B_{2}$, $CBB_{1}C_{2}$ and $ACC_{1}A_{2}$. Prove that, if the segments $A_{1}A_{2}$, $B_{1}B_{2}$ and $C_{1}C_{2}$ are not parallel, a triangle can be assembled from them by translations.
(20 points)
(20 points)