Altitude (of a triangle)
A perpendicular segment from a vertex to the line containing the opposite side.
The altitude of a triangle is the perpendicular line segment from a vertex of a triangle to the line containing the opposite side or base. In other words, it is the distance from the base of a triangle to the vertex opposite that base.
There can be three altitudes in any triangle, each one drawn from one of the triangle’s three vertices. The length of an altitude can be found using the formula:
Altitude = (2 * Area of the triangle) / Base length
Alternatively, the length of the altitude can be found using the Pythagorean theorem if the sides of the triangle are known. Once the length of the altitude is known, its direction and position can be determined as well.
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