Let Γ be a circumference and A a point outside it. Let B and C be points in Γ such that AB and AC are tangent to Γ. Let P be a point in Γ. Let D, E and F be points in BC, AC and AB respectively, such that PD⊥BC, PE⊥AC, and PF⊥AB.
Show that PD2=PE⋅PF geometryincenterAsymptote