how do you find the height of a regular pyramid if the slant height is given?

Answer 1

assuming u know the length of a side of the square base...
let s be the length of he base.
The diagonal of the base = s*sqrt(2) (pythagoras theorem).
half the diagonal, the height and the slant height form a right triangle.
=> (s/2)^2 + h^2 = l^2, where l is the slant height.
=> h = sqrt( l^2 - (s/2)^2 ) = sqrt( l^2 - ( (s^2)/4 ) )

Answer 2

if u temme the angle btwn the slant height and the base, i'll tell u da ans

the data u've given is insufficient

if u know the angle, then the height (h)

h = sin(angle btwn slant height and base)*slant height

Answer 3

What other information do you have.Knowing
the slant height is not enough

Answer 4

you still need to knwo another length then can calculate