Math Problem Statement
A triangle ABC is assumed with the orthocenter H and incenter I. We have chosen the point K so that AK+AH=BK+BH=CK+CH. Prove I,K and H are collinear.
Solution
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Math Problem Analysis
Mathematical Concepts
Triangle Geometry
Isogonal Conjugates
Incircle and Circumcircle
Formulas
AK + AH = BK + BH = CK + CH
Theorems
Isogonal Conjugate Property
Exsimilicenter Property
Suitable Grade Level
Undergraduate