Let ABC be a given isoceles triangle such that AB=AC. AB and AC are extended to E and F respectively such that , BE× CF=AB^2. Prove that EF always passes through a fixed point.

Let ABC be a given isoceles triangle such that AB=AC. AB and AC are ex

1.	Let ABC be a given isoceles triangle such that AB=AC. AB and AC are extended to E and F respectively such that , BE× CF=AB^2. Prove that EF always passes through a fixed point.
Answer» Let ABC be a given isoceles triangle such that AB=AC. AB and AC are extended to E and F respectively such that , BE× CF=AB^2. Prove that EF always passes through a fixed point.