Unit Plan

Cut the Knot: Existence of the Orthocenter

Curated by ACT

This site defines the altitude of a triangle and gives the standard notation for altitudes of a triangle. The site then goes to list several proofs involving altitudes and orthocenters.

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Concepts
altitude
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Additional Tags
altitude of a triangle, altitudes as cevians, euler line, inscribed angles, isogonal conjugate, orthocenter as incenter, orthocenter as the isogonal conjugate of the circumcenter, orthocenter of a triangle, proofs involving altitude of a triangle, ceva's theorem, cut the knot
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Classroom Considerations
  • Knovation Readability Score: 4 (1 low difficulty, 5 high difficulty)
  • The intended use for this resource is Instructional