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How do altitudes locate a triangle's orthocenter?
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geometry
This map spans a millennium of prominent Greco-Roman mathematicians, from Thales of Miletus (c. 600 bce) to Hypatia of Alexandria (c. 400 ce).
In geometry, an altitude is defined as a line segment extending from a triangle's vertex that meets the opposite side at a right angle.1
A triangle has three such altitudes, one corresponding to each vertex. The orthocenter is the point where these three altitudesâor their extensionsâintersect.12