Altitude of a triangle definition

In geometryan altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the side opposite the vertex.

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. The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. Also, known as the height of the triangle, the altitude makes a right-angle triangle with the base. The main application use of altitude is that it is used for area calculation of the triangle, i.

Altitude of a triangle definition

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. The word 'altitude' is used in two subtly different ways: It can refer to the line itself. For example, you may see "draw an altitude of the triangle ABC". As a measurement. You may see "the altitude of the triangle is 3 centimeters". In this sense it is used in way similar to the "height" of the triangle. In most cases the altitude of the triangle is inside the triangle, like this: Angles B, C are both acute However, if one of the angles opposite the chosen vertex is obtuse , then it will lie outside the triangle, as below. Angle C is obtuse The altitude meets the extended base BC of the triangle at right angles. In the animation at the top of the page, drag the point A to the extreme left or right to see this. It turns out that in any triangle, the three altitudes always intersect at a single point, which is called the orthocenter of the triangle. For more on this, see Orthocenter of a triangle. The following two pages demonstrate how to construct the altitude of a triangle with compass and straightedge.

Let us name the sides of the scalene triangle to be 'a', 'b', and 'c' respectively. Log in.

The altitude of a triangle is a perpendicular that is drawn from the vertex of a triangle to the opposite side. Since there are three sides in a triangle, three altitudes can be drawn in it. Different triangles have different kinds of altitudes. The altitude of a triangle which is also called its height is used in calculating the area of a triangle and is denoted by the letter 'h'. 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.

The altitude of a triangle is a perpendicular that is drawn from the vertex of a triangle to the opposite side. Since there are three sides in a triangle, three altitudes can be drawn in it. Different triangles have different kinds of altitudes. The altitude of a triangle which is also called its height is used in calculating the area of a triangle and is denoted by the letter 'h'. 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'. It can be measured by calculating the distance between the vertex and its opposite side.

Altitude of a triangle definition

Home » Geometry » Triangle » Altitude 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.

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What is the property of the altitude of a triangle? Now using the general formula of the area and equating it with Heron's formula we can obtain the altitude,. Read Edit View history. Gain Percentage. But opting out of some of these cookies may affect your browsing experience. The intersection point of the three medians is called the centroid of the triangle. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex. Altitude is a perpendicular line segment from the vertex to its opposite side. 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. Maths Formulas. Rate Get App Share. Here, the 'height' is the altitude of the triangle.

In geometry, the altitude of a geometric figure generally refers to a perpendicular distance measured from the base of the figure to its opposite side. The term altitude is often used interchangeably with "height. The dotted red lines in the figures above represent their altitudes.

About Us. 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. In other projects. An altitude of a triangle is the perpendicular distance drawn from the vertex to the opposite side of the triangle. Obtuse triangle Orthocenter, StudySmarter Originals. This proof in Arabic was translated as part of the early 17th century Latin editions of the Book of Lemmas , but was not widely known in Europe, and the theorem was therefore proven several more times in the 17th—19th century. Here s is the semi perimeter of the triangle i. Angle C is obtuse The altitude meets the extended base BC of the triangle at right angles. The altitude of an equilateral triangle is also considered a median. It is a special case of orthogonal projection. Sign up to highlight and take notes. You also have the option to opt-out of these cookies. Then [12] [13]. Practice Questions on Altitude of a Triangle.