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What is the distance from the vertex of a regular pyramid to the midpoint of an adage of the base?

The distance from the vertex of a regular pyramid to the midpoint of an edge of the base can be found using the Pythagorean theorem. If the height of the pyramid is ( h ) and the distance from the center of the base to the midpoint of an edge is ( d ), then the distance ( D ) from the vertex to the midpoint of the edge is given by ( D = \sqrt{h^2 + d^2} ). This applies to regular pyramids where the base is a regular polygon. The specific values of ( h ) and ( d ) depend on the dimensions of the pyramid and its base.


What has a polygon for its base and triangles for its sides which meet at one vertex?

It is a pyramid


What is a polyhedron with a polygon base and triangular sides that allmeet at a common vertex?

A polyhedron with a polygon base and triangular sides that all meet at a common vertex is known as a pyramid. The base can be any polygon, such as a triangle, square, or pentagon, and the triangular sides are called lateral faces. The vertex where all the triangular faces converge is referred to as the apex of the pyramid. Each type of pyramid is named based on the shape of its base, such as a triangular pyramid or a square pyramid.


Which solid figure has a base that is a polygon and triangular faces that meet a vertex?

pyramid


What polygon has nine lines of symmetry?

A polygon with nine lines of symmetry is a regular nonagon, which is a nine-sided polygon. In a regular nonagon, each vertex can be reflected over a line that passes through the center and a vertex, as well as lines that bisect the angles between the vertices. This symmetry results in a total of nine lines of symmetry.

Related Questions

A regular pyramid has a base and vertex over the center of the base?

A regular pyramid has a regular polygon base and a vertex over the center of the base. By:Cherrylvr :)


A has a regular polygon base and a vertex over the center of the base?

regular pyramid


A regular pyramid has a base and a vertex over the center of the base?

Regular Polygon...


A regular pyramid has a regular polygon base and a what over the center of the base?

vertex


Does a regular pyramid have a regular polygon as its base and a vertex over the base's center?

Yes


What is the distance from the vertex of a regular pyramid to the midpoint of an adage of the base?

The distance from the vertex of a regular pyramid to the midpoint of an edge of the base can be found using the Pythagorean theorem. If the height of the pyramid is ( h ) and the distance from the center of the base to the midpoint of an edge is ( d ), then the distance ( D ) from the vertex to the midpoint of the edge is given by ( D = \sqrt{h^2 + d^2} ). This applies to regular pyramids where the base is a regular polygon. The specific values of ( h ) and ( d ) depend on the dimensions of the pyramid and its base.


What is the definition of central angle of a regular polygon?

an angle whose vertex is the center of the polygon and whose sides pass through adjacent vertices.


What has a polygon for its base and triangles for its sides which meet at one vertex?

It is a pyramid


What is a polyhedron with a polygon base and triangular sides that allmeet at a common vertex?

A polyhedron with a polygon base and triangular sides that all meet at a common vertex is known as a pyramid. The base can be any polygon, such as a triangle, square, or pentagon, and the triangular sides are called lateral faces. The vertex where all the triangular faces converge is referred to as the apex of the pyramid. Each type of pyramid is named based on the shape of its base, such as a triangular pyramid or a square pyramid.


What is a polyhedron in which one face can be any polygon and the lateral faces are triangles that meet at a common vertex?

A pyramid has a polygonal base with all other sides being triangles. As the Egyptians famously demonstrated, a common pyramid has a square base with four triangles meeting at a vertex, but any polygon - regular or irregular - can be used as the base of such a polyhedron.


What solid figure has one polygon face and triangles with common vertex?

a pyramid


Which solid figure has a base that is a polygon and triangular faces that meet at a vertex?

pyramid