VTMO 2026 - Grade 8 - Semifinal - SET 2 - Self-study Question 13

In the figure, $\triangle ABC$ is right-angled at $A$ and $\angle ACB=30^\circ$. Triangles $ABE,ACF,BCG$ are equilateral. Given $S_{ABE}+S_{ABC}=12\text{ cm}^2$, find $S_{ACF}+S_{BCG}$.