By adding more information you can make things easier.
See solution.
Practice makes perfect
In the mentioned exercise we investigated a softball field. Since HFST is a square, we could make a simpler problem by just drawing a square that sits on one side, marking the diagonals and highlighting the triangles we want to compare.
Now the question can be exactly the same as before.
Prove that
△ HFS ≅ △ STH ≅ △ FST.
We have all the information we need to compare the triangles, which makes it an easier problem.