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 Description  
 Height of a Triangle:  The length of the perpendicular segment from a vertex to the opposite side of a triangle. It is also called the altitude of a triangle.
In the figure below, the red segments are the heights of the triangle ABC for each respective base.



Examples of Altitudes


The altitude (h) of this triangle is shown in red.

You can find the altitude or the height of a figure by measuring the segment (h) that is perpendicular to the base and that meets the opposite vertex (E). This segment h can also be called the altitude.



Sometimes the altitude will fall outside the figure, as in the triangle to the right. In this case, you need to extend the base of the figure so that it intersects the altitude at a right angle.

Non-Example of Altitude



In this picture, the green segment is not an altitude of the triangle since it is not perpedicular to a base (BC) of the triangle. The altitude is indicated in red.