How to find side edges of a rectangular pyramid

How to find side edges of a rectangular pyramid

The pyramid is a solid with a polygon in the basis and side triangular sides with the general top. The quantity of side sides of a pyramid is equal to number of the parties of the basis.

Instruction

1. In a rectangular pyramid one of side edges is perpendicular to the basis plane. This edge at the same time is polyhedron height. Two sides to which planes the edge coinciding with height belongs are rectangular triangles.

2. Consider the rectangular triangle representing a side side of a rectangular pyramid. Its legs — height of a pyramid and one of the parties of the basis, a hypotenuse — an unknown side edge of a polyhedron. It is possible to calculate unknown size on Pythagorean theorem. The side edge of a pyramid will be defined how a root square of the sum of squares of height of a body and the party of the basis.

3. In a rectangular pyramid two side sides in the form of a rectangular triangle. Consider the second rectangular triangle. Two triangles have one general leg equal to pyramid height. For finding of one more side edge calculate a hypotenuse of the second rectangular triangle.

4. If in the basis of a rectangular pyramid the triangle lies, then the problem of finding of side edges of a body is solved. In case of any polygon in the basis the task can be solved in two ways. Since side sides in the form of rectangular triangles it is consecutive to consider other side sides, determining an unknown side edge as the third party of a triangle by two known.

5. In a different way it is possible to find side edges of a rectangular pyramid consecutive finding of a hypotenuse of a rectangular triangle in which legs are height of a pyramid and the piece which is carried out in the basis from the beginning of height to the basis of a required edge.

Author: «MirrorInfo» Dream Team


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