Q:Information: - Space is the boundless three-dimensional extent in which objects and events have relative position and direction. Physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework. - The Multinational Aircrew Electronic Warfare Tactics Facility Polygone - POLYGON is an Electronic Warfare Tactics Range located on the border between Germany and France. It is a tri-national facility operated by France, Germany and the United States. - A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices "A", "B", and "C" is denoted formula_1. - Geometry (from the ; "geo-" "earth", "-metron" "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. - In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects. - A shape is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture, or material composition. - A rotation is a circular movement of an object around a center (or point) of rotation . A three-dimensional object always rotates around an imaginary line called a rotation axis. If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation about an external point, e.g. the Earth about the Sun, is called a revolution or orbital revolution, typically when it is produced by gravity. The axis is called a pole. - In geometry and trigonometry, a right angle is an angle that bisects the angle formed by two adjacent parts of a straight line. More precisely, if a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles. As a rotation, a right angle corresponds to a quarter turn (that is, a quarter of a full circle). - Trigonometry (from Greek "trignon", "triangle" and "metron", "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. - In geometry , an altitude of a triangle is a line segment through a vertex and perpendicular to ( i.e. forming a right angle with ) a line containing the base ( the opposite side of the triangle ) . This line containing the opposite side is called the extended base of the altitude . The intersection between the extended base and the altitude is called the foot of the altitude . The length of the altitude , often simply called the altitude , is the distance between the extended base and the vertex . The process of drawing the altitude from the vertex to the foot is known as dropping the altitude of that vertex . It is a special case of orthogonal projection . Altitudes can be used to compute the area of a triangle : one half of the product of an altitude 's length and its base 's length equals the triangle 's area . Thus the longest altitude is perpendicular to the shortest side of the triangle . The altitudes are also related to the sides of the triangle through the trigonometric functions . In an isosceles triangle ( a triangle with two congruent sides ) , the altitude having the incongruent side as its base will have the midpoint of that side as its foot . Also the altitude having the incongruent side as its base will form the angle bisector of the vertex . It is common to mark the altitude with the letter h ( as in height ) , often subscripted with the name of the side the altitude comes from . In a right triangle , the altitude with the hypotenuse c as base divides the hypotenuse into two lengths p and q. If we denote the length of the altitude by hc , we then have the relation h -- ( c ) = ( \ sqrt ( pq ) ) ( Geometric mean theorem ) For acute and right triangles the feet of the altitudes all fall on the triangle 's interior or edge . In an obtuse triangle ( one with an obtuse angle ) , the foot of the altitude to the obtuse - angled vertex falls on the opposite side , but the feet of the altitudes to the acute - angled vertices fall on the opposite extended side , exterior to the triangle . This is... - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. - In planar geometry, an angle is the figure formed by two rays, called the "sides" of the angle, sharing a common endpoint, called the "vertex" of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles. 'altitude ' is related to which object entity through the relation of 'instance of'? Choices: - angle - branch - century - color - concept - facility - field - intersection - line - material - mathematics - measurement - object - outline - point - pole - polygon - property - quantity - relationship - shape - sharing - size - space - sphere - structure - study - three - time - triangle - two
A:
concept