**Math mini-contest problem for Day 5 on D.Buzz for May 2021** 😎

For a triangle DEF whose height is FG and G is on side DE, Manga got `arctan (FG/DG) ≈ 1.176`

, while Minos got `arctan (FG/GE) ≈ 0.330`

. What is the minimum possible area of the triangle if FG is an integer?