Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
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Exercise 1 Page 289

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.