Test your math skills with this LIMO 2021 exercise from Transtrend.
Let ABC be a triangle. Somewhere within triangle ABC there is a smaller triangle A’B’C’ such that:
➢ Determine the cumulative surface area of the triangles BCA’, CAB’ and ABC’ as a fraction of the surface area of ABC, expressed in terms of f.
Note: Your solution should hold for any triangle ABC, irrespective of the exact location of A’B’C’ within ABC.