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Eighth grade mathematics Chapter 12 congruent triangles problem
It is enough to prove that the right triangle BAD is congruent with CAE.

Right angle ba=ac

The hypotenuse is correspondingly equal.

After congruence, the corresponding angles are equal, and the angle abd= angle ace is obtained.

Therefore, it is further obtained that the angle cfd=90 degrees, that is, BF⊥CE.