A cevian is a line segment or ray that extends from one vertex of a polygon (usually a triangle) to the opposite side (or the extension of that side). In the below diagram, is a cevian.
- A median is a cevian that divides the opposite side into two congruent lengths.
- An altitude is a cevian that is perpendicular to the opposite side.
- An angle bisector is a cevian that divides the angle the cevian came from in half.
In the diagram, note that because . Thus,
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