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- The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle. It may lie inside or outside the triangle, based on the types of triangles. The altitude of a triangle basically defines the height, when we have to measure the area of a triangle, with respect to the base.
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Learn what is altitude of a triangle, how to calculate it for different types of triangles, and its properties and applications. See formulas, solved examples and practice problems on altitude of a triangle.
- Types of Triangles
There are basically six different types of triangles with...
- Types of Triangles
The altitude of a triangle is the perpendicular line segment drawn from the vertex of the triangle to the side opposite to it. The altitude makes a right angle with the base of the triangle that it touches. It is commonly referred to as the height of a triangle and is denoted by the letter 'h'.
- Definition
- Properties
- Formulas
- Solved Examples
- Altitude and Median of A Triangle
Altitude or height of a triangle is the perpendicular line drawn from the vertex of a triangle to its opposite side. It makes a right angle with the base of the triangle. Each triangle has three possible altitudes. Different triangles have different types of altitudes. They can be found either inside a triangle (as in acute triangles) or outside (a...
Has 3 altitudes, one from each vertex; in △ABC, AE, BQ, and CP are the three altitudesThe 3 altitudes meet at a common point, called the orthocenter of the triangle; in △ABC, point ‘O’ is the orthocenterEach altitude is the shortest distance from the vertex to its opposite side; for example, AE is the shortest distance from ∠A to the side BCHow to Find the Altitude of a Triangle
The altitude of a triangle can be calculated using the formula given below: Derivation The formula to calculate the altitude of a triangle can be derived from the standard formula of area of a triangle as shown below: As we know, Area (A) = ½ (b x h), here b = base, h = altitude => 2A = b x h => h = 2A/b Hence, mathematically, altitude of a triangle can also be defined as twice the area divided by the base of the triangle. Although we can use the above formula to determine the altitude for al...
To find the altitude of a triangle, we first need to identify the type of triangle. After the identification of the type, we use the specific formulas given above for each type to find the value of the altitude. Let us solve some examples to understand the concepts better.
An altitude is the perpendicular distance from the base to the opposite vertex. It can be found either outside or inside a triangle. In contrast the median of a triangle is the line segment drawn from the vertex to the opposite side that divides a triangle into two equal parts. The median bisects the triangle formed at the vertex from where it is d...
In geometry, an altitude of a triangle is a line segment through a given vertex (called apex) and perpendicular to a line containing the side or edge opposite the apex (the base). This (infinite) line containing the (finite) base is called the extended base of the altitude.
Jan 11, 2023 · What is the altitude of a triangle? An altitude is a line drawn from a triangle's vertex down to the opposite base, so that the constructed line is perpendicular to the base. Imagine you ran a business making and sending out triangles, and each had to be put in a rectangular cardboard shipping carton.
The altitude of a triangle is a line from a vertex to the opposite side, that is perpendicular to that side, as shown in the animation above. A triangle therefore has three possible altitudes. The altitude is the shortest distance from a vertex to its opposite side.
Learn what altitude or height of a triangle is and how to find it in different cases. See examples, diagrams, and definitions of altitude and perpendicular line segment.
