Let BD be the bisector of angle B in triangle ABC. The circumcircle of triangle BDC meets AB at E, while the circumcircle of triangle ABD meets BC at F. Prove that AE = CF.
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We have a triangle ABC with BD as the angle bisector of angle B. The circumcircle of triangle BDC intersects AB at E, and the circumcircle of triangle ABD intersects BC at F. We need to prove that AE = CF. Show more…
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