altitude
the perpendicular distance from the base of a quadrilateral to the opposite side?
The centre of mass of a uniform solid cone is located at the at a distance h/4 from the base plane, where h is the height of the cone (the perpendicular distance of the vertex to the base plane). The result can be found by the equation. X =(1/M)∫ x dm
The orthocentre is a point within a triangle where the perpendicular of each vertex to its base intersect each other.
True
All these shapes have a vertex opposite its base.
That is the height of the triangle, the h in the formula a = 0.5b x h
1/2 base x height where: base is one of the sides height is the perpendicular distance from the base side to the opposite vertex
It does not matter. Any side can be the base. Then, the height is the perpendicular distance between that side and the opposite vertex.
the perpendicular distance from the base of a quadrilateral to the opposite side?
The perpendicular height extends from the vertex opposite the base to meet the base at a 90 degree angle.
The height of a triangle is the perpendicular distance measured from the chosen base (or base extension*) to its opposite vertex (or apex)+.* If any of the shorter sides of an obtuse triangle is chosen to be the base, an extension need to be drawn to this base so that a perpendicular can be constructed from the apex down to this base extension.There are three sides to a triangle, hence three possible bases. Each base will have a corresponding height that is measured from the opposite vertex or apex+.A vertex is the point when 2 sides of a figure intersect.(Read more: vertex)+ A triangle has 3 vertices. 2 vertices defines the length of the base. There remains one vertex that is not touching the base. This vertex is opposite to the base (or base extension) and it is referred to as the apex.
A typical cone consists of several main parts: the base, which is a circular flat surface; the vertex, which is the pointed tip opposite the base; and the lateral surface, which connects the base to the vertex. Additionally, there is the height, which is the perpendicular distance from the vertex to the center of the base. In a right cone, the vertex is directly above the center of the base, while in an oblique cone, the vertex is not aligned with the center.
It is the perpendicular distance.
A cross section of a rectangular pyramid through its vertex and perpendicular to its base creates a triangular shape. This triangle's base corresponds to one of the edges of the rectangular base, while its apex is at the vertex of the pyramid. The height of the triangle is determined by the vertical distance from the vertex to the base.
The altitude of a triangle is the distance from the line containing the base to the vertex. Draw the base and continue on outside of the triangle. Measure perpendicular from that line to the vertex.
An altitude of a triangle is defined as a perpendicular segment from a vertex to the opposite side because this definition ensures that the height of the triangle is measured at the maximum distance from the base, which is essential for calculating the area accurately. The perpendicularity guarantees that the height is the shortest distance between the vertex and the line containing the opposite side, thereby maintaining the geometric properties of the triangle. This definition is universally applicable, even in non-right triangles, ensuring consistency in geometric analysis.
The length of a perpendicular line drawn from one vertex to the opposite side of a triangle is known as the altitude. It varies depending on the type of triangle and the position of the vertex from which the altitude is drawn. The altitude can be calculated using the area of the triangle and the length of the base to which it is perpendicular. In general, the altitude is crucial for determining the triangle's area and properties.