Math Problem Statement
Given triangle ABC, orthocenter H, circumcenter O, incenter I. prove that if IH=IO then AH=AO
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangle Centers
Symmetry in Triangles
Formulas
Distance formula between two points in a plane
Theorems
Euler Line Theorem
Properties of Isosceles Triangles
Symmetry in Triangle Centers
Suitable Grade Level
High School (Grades 10-12)