###### Asked in Math and ArithmeticAlgebraGeometry

Math and Arithmetic

Algebra

Geometry

# How do you find the base of a regular pyramid when you have the perimeter and the slant height?

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## Related Questions

###### Asked in Math and Arithmetic, Algebra, Geometry

### When you see a picture of a right pyramid with a regular polygon base how do you identify its height and its slant height?

Its vertical height is that of the perpendicular from the centre
of the base to the apex; the slant height is the length of the
sloping "corner" between two faces.
The height of a regular pyramid is the vertical distance from
the center of base to the top and is usually shown with a line
perpendicular to the base, denoted with a right angle to the
base.
The slant height it the height of the lateral face (the
triangles) from the edge of the base to the top of the pyramid. It
is the height of the triangle, not the pyramid itself.
The slant height will also be the hypotenuse of a right angle
formed from the altitude of the pyramid and the distance from the
center of the base to the edge.

###### Asked in Math and Arithmetic, Geometry, Pyramids

### How do you find lateral area of a pyramid?

If it is a regular pyramid you need to find out the base
perimeter, multiply it by the height of the sides (when considered
as triangles) and divide by two.
The height of the side can be found using Pythagoras's formula
if you know the height of the pyramid and the length of a side. The
side height of a pyramid is also known as the slanted height or L
in a formula.
Formula:permiter of base x L(side height) ( P of B)(L)
p x L(slant)
----------------------------------------- =
---------------------
2 2
Good luck!

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