Matematika Testy - Cvičení z matematiky

Altitudes (heights) of a triangle

Altitudes

An altitude (or the height) of a triangle is a line segment through a vertex and perpendicular to (forming a right angle with) a side of the triangle containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude. Every triangle has 3 altitudes which intersect at one point called the orthocenter (O).

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In an acute triangle, all altitudes and the orthocenter lie within the triangle.

In a right triangle, two sides coincide with the altitudes and the orthocenter coincides with the vertex of the right angle.

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In an obtuse triangle, two altitudes and the orthocenter lie outside of the triangle.

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