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### Middle/High School Algebra, Geometry, and Statistics (AGS)7.12 Theorem 22Altitudes of a Triangle

 An altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. forming a right angle with) the opposite side or an extension of the opposite side. The three altitudes of a triangle are concurrent, intersecting at the orthocenter. The position of the orthocenter depends on the form of of the triangle: Acute triangle the orthocenter lies within the triangle. Right triangle the orthocenter lies on the hypotenuse of the triangle. Obtuse triangle the orthocenter lies outside the triangle.

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