Altitude of a Triangle
a perpendicular segment from a vertex to the line containing the opposite sideAKA the height of the triangle
The altitude of a triangle is the perpendicular line segment drawn from one vertex of the triangle to the opposite side (base) or to one of the sides passing through the opposite vertex.
The altitude divides the base into two segments and creates two right triangles with the base as the hypotenuse. The length of the altitude can be found using the Pythagorean theorem or by using the formula:
altitude = (2 * area of triangle) / base
where area of triangle is calculated using the formula:
area = (1/2) * base * height
where base is the length of the side of the triangle on which the altitude is drawn, and height is the length of the altitude.
It is important to note that the altitude of an obtuse triangle can be drawn outside the triangle, while the altitude of an acute triangle is always drawn inside the triangle.
More Answers:
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