In the triangle ABC, ∠ ACB = 90 °, CE ⊥ AB at point E, D is the point above AB, ad = AC, AF bisects ∠ CAE and intersects CE at point F Please guess the relationship between FD and BC and prove your conjecture

In the triangle ABC, ∠ ACB = 90 °, CE ⊥ AB at point E, D is the point above AB, ad = AC, AF bisects ∠ CAE and intersects CE at point F Please guess the relationship between FD and BC and prove your conjecture

FD//BC
Proband triangle AFC and triangle AFD congruence (S.A.S)
We can get ∠ ace = ∠ ADF
It is easy to prove that ∠ B = ∠ ACE (the same angle and the remaining angle are equal)
It can be concluded that ∠ ADF = ∠ B
So FD / / BC

Elden Ring Premiere

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