What is the difference between medians and altitudes?

An altitude is a perpendicular line segment drawn from a vertex of a triangle to the opposite side. For an equilateral triangle, the median cuts the side in half and is the same as an altitude. Median – A line segment joining a vertex of a triangle with the mid-point of the opposite side. Altitude – A line segment joining a vertex of a triangle with the opposite side such that the segment is perpendicular to the opposite side.

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