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mathslover (mathslover):
Prove that the orthocentre of a triangle ABC with A(x1,y1), B(x2,y2) and C(x3,y3) is (x1 tan A + x2 tan B + x3 tan C)/(tan A + tan B + tan C), (y1 tan A + y2 tan B + y3 tan C)/(tan A + tan B + tan C)
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