Question: Problem 3. Let ABC be a triangle, and suppose that the foot D of the altitude from A lies on the side BC. Let

Problem 3. Let ABC be a triangle, and suppose that the foot

Problem 3. Let ABC be a triangle, and suppose that the foot D of the altitude from A lies on the side BC. Let E, F be points on the sides AC, AB, respectively, satisfying ZADE = ZFDA. Prove that the lines AD, BE, CF intersect at a common point. Hint: consider the line k through A parallel to BC, and the intersection points of k with DE, DF 1

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