Altitude of a Triangle
The distance between a vertex of a triangle and the opposite side is altitude. Formally, the shortest line segment between a vertex of a triangle and the (possibly extended) opposite side.
Note: Every triangle have 3 altitudes
which are intersecting at one point - orthocenter
If we use the standard notations, in a triangle ABC
, there are three altitudes: AHa, BHb, CHc
. The three lines meet at a point - the orthocenter (H at the picture) of the triangle.
For an obtuse triangle (having one angle exceeding 90°), the orthocenter lies outside the triangle,
because the lines of the altitudes intersect in one point.
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