Question 14
Let $ABC$ be a triangle such that when constructing the squares $ABB_1A_2$, $BCC_1B_2$ and $CAA_1C_2$ outside the triangle, the points $A$, $B$ and $C$ remain inside the triangles $A_1B_1C_1$ and $A_2B_2C_2$. Show that the triangles $A_1B_1C_1$ and $A_2B_2C_2$ have the same area.