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A pyramid is a three-dimensional shape with a polygonal base and triangular faces that meet at a common vertex. You can use this calculator to find the length of the base edge of a regular pyramid based on its height and number of sides.

Formula for the base edge of a regular pyramid

The length of the base edge of a regular pyramid can be calculated using the following formula:

Base edge = 2 x height x tan(pi / n)

where:

height is the height of the pyramid.

n is the number of sides of the polygonal base.

pi is the mathematical constant pi, approximately equal to 3.14159.

tan is the trigonometric tangent function.

How to use the calculator

To find the base edge of a regular pyramid:

Enter the height of the pyramid in the first field.

Enter the number of sides of the polygonal base in the second field.

Click "Calculate".

The calculator will display the length of the base edge of the regular pyramid in the output field.

Make sure to enter the measurements in the same units (e.g. all in meters or all in feet).

Example

Suppose we have a regular pyramid with a height of 10 units and a square base. To find the length of the base edge:

Enter 10 in the field for the height.

Enter 4 in the field for the number of sides (since a square has 4 sides).

Click "Calculate".

The calculator will display the length of the base edge of the regular pyramid as approximately 14.14 units.

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