![]() ![]() It is uncertain when the idea first appeared, as the concept likely occurred to many people individually with minor differences. The center of gravity, as the name indicates, is a notion that arose in mechanics, most likely in connection with building activities. The term is peculiar to the English language the French, for instance, use " centre de gravité" on most occasions, and others use terms of similar meaning. It is used as a substitute for the older terms " center of gravity" and " center of mass" when the purely geometrical aspects of that point are to be emphasized. The term "centroid" is of recent coinage (1814). In geography, the centroid of a radial projection of a region of the Earth's surface to sea level is the region's geographical center. In physics, if variations in gravity are considered, then a center of gravity can be defined as the weighted mean of all points weighted by their specific weight. Informally, it can be understood as the point at which a cutout of the shape (with uniformly distributed mass) could be perfectly balanced on the tip of a pin. In geometry, one often assumes uniform mass density, in which case the barycenter or center of mass coincides with the centroid. The same definition extends to any object in n- dimensional Euclidean space. ![]() In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure. ( April 2013) ( Learn how and when to remove this template message) Please help to improve this article by introducing more precise citations. In the case of an equilateral triangle, the median of the triangle is the same as the altitude of the triangle.This article includes a list of general references, but it lacks sufficient corresponding inline citations.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.
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