The process of drawing the altitude from the vertex to the foot is known as dropping the altitude of that vertex. The length of the altitude, often simply called the altitude, is the distance between the base and the vertex. The intersection between the extended base and the altitude is called the foot of the altitude. This line containing the opposite side is called the extended base of the altitude. forming a right angle with) a line containing the base (the opposite side of the triangle). In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e. In the case of an equilateral triangle, the median of the triangle is the same as the altitude of the triangle.Three altitudes intersecting at the orthocenterĪn altitude is the perpendicular segment from a vertex to its opposite side.Length of a median can be calculated by the formula, In other words, the median divides the side into two halves. A Median is a line segment drawn from the centre of a side of the triangle to the opposite vertex.Altitude is used to calculate the area of a triangle, together with the length of the base to which the altitude is drawn.In other words, altitude represents the height of the triangle. The altitude of a triangle is the perpendicular line drawn from a vertex of the triangle to the opposite side.In an equilateral triangle, the median is the same as the altitude.Areas of the number of smaller portions that a median creates within a triangle would be always equal.If three medians are drawn at a time, they will surely meet at a point of the triangle.( Centroid ).The number of medians in a triangle would be always equal to the number of vertices in the triangle.The area of the two parts formed by drawing a median (which would be two triangles) would always be equal.An altitude begins from the vertex of a triangle and ends at the point of the opposite side which divides the opposite side equally.There are some properties of a median that may be defined as its characteristics. In an equilateral triangle, the altitude is the same as the median.Altitude is a basic component that helps to calculate the area of a triangle.Altitude is a part of a triangle that always needn’t be within the sides of a triangle.If all the altitudes of a triangle are drawn at a time, then the three altitudes will surely intersect at a point called the orthocentre.The angle that an altitude makes with the opposite side would always be 90 degrees.In other words, the number of sides in a triangle would be equal to the number of altitudes. Like the median, there would be 3 altitudes in a triangle.The properties can be different for different kinds of triangles, but there are some features or key properties that make them identifiable. The altitude and median of a triangle have different properties as a part of the triangle. Where, a, b and c are sides of the triangle and ‘a’ is the side to which the median is drawn. With the help of the length of sides, we can find the length of a median, using the below formula: Similarly, all the three medians divide the sides into equal halves. In the above figure, AR is a line segment that divides side BC into two halves, that is, BR and RC. The median of a triangle is a line segment drawn from a vertex to another point on the opposite side of that vertex so that the line segment divides the opposite side into two halves.
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