In △ ABC, ab = AC, ad = 2, ad is the middle line of △ ABC, AE is the angular bisector of ∠ bad, DF ‖ AB intersects the extension of AE at point F, and the length of DF is calculated

In △ ABC, ab = AC, ad = 2, ad is the middle line of △ ABC, AE is the angular bisector of ∠ bad, DF ‖ AB intersects the extension of AE at point F, and the length of DF is calculated

∵ AE bisection ∠ bad
∴∠BAE=∠DAE
∵DF∥AB
∴∠DFA=∠BAE
∴∠DFA=∠DAE
∴DF=AD
∵AD=2
∴DF=2