Altitude of a triangle
a perpendicular segment from a vertex to the line containing the opposite side
The altitude of a triangle is a line segment drawn from the vertex of the triangle that is perpendicular to the opposite side of the triangle. It is also known as the height of the triangle. The altitude divides the triangle into two smaller right triangles and it can be used to find the area of the triangle.
To find the altitude of a triangle, we need to know at least one of the following: the base of the triangle and the length of the altitude, or two sides of the triangle and the length of the altitude, or the area of the triangle and the length of the base.
There are different methods to find the altitude of a triangle depending on what information is given. Here are some examples:
– If we know the base of the triangle and the length of the altitude, we can use the formula:
Altitude = 2 × (Area of the Triangle) / Base
– If we know two sides of the triangle and the length of the altitude, we can use the formula:
Altitude = 2 × (Area of the Triangle) / (Length of the Side × Perpendicular Side)
– If we know the area of the triangle and the length of the base, we can use the formula:
Altitude = 2 × Area of the Triangle / Base
It is important to note that when using these formulas, the units of measurement used for the base, the sides, and the altitude must be the same.
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