Difference between revisions of "Altitude"

Revision as of 19:25, 18 February 2022

The altitude defined is as in a mathematical sense, there are more definitions of the word altitude not mentioned here

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-==Definition==
+<i>The altitude defined is as in a mathematical sense, there are more definitions of the word altitude not mentioned here</i>
-In [[geometry]], an '''altitude''' of a figure is a [[cevian]] that is [[perpendicular]] to the side to which it extends.
-Usually, one is concerned with the altitude (or ''height'') of [[triangle]]s.  In particular, the altitudes of any triangle are [[concurrent]] at a point known as the [[orthocenter]].
-==Usage==
-Altitudes are mainly used to finding area of a triangle.  Furthermore, if one knows the area of a triangle and one side, the altitude to that side can be calculated.  In addition to triangles, altitudes are also useful for finding the area of quadrilaterals with at least one pair of parallel sides (rectangles, parallelograms, trapezoids).
-Because the altitude is perpendicular to a side, many right triangle tools like [[Pythagorean Theorem]] will be very useful.
 ==See also==
 *[[Geometry]]
 *[[Area]]
+*[[Orthocenter]]
 [[Category:Geometry]]
 {{stub}}