What is the formula to finding slant height in a pyramid? Thanks!! :)
Depends what information you are given.
I would prefer if you didn't concentrate on a "formula" but rather analyze the problem.
Here is a nice short video where they find the slant height as part of another problem.
https://www.youtube.com/watch?v=r5EQCSW_rLQ
To find the slant height of a pyramid, you can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In the case of a pyramid, you can consider the slant height as the hypotenuse of a right-angled triangle. The other two sides are the height of the pyramid (the distance from the apex to the base) and the distance from the apex to the midpoint of a base edge.
Now, let's denote the slant height as "s", the height as "h", and the distance from the apex to the midpoint of a base edge as "r". According to the Pythagorean Theorem, we have:
s^2 = h^2 + r^2
To find the slant height ("s"), you need to know the height ("h") and the distance from the apex to the midpoint of a base edge ("r"). Once you have those values, you can substitute them into the equation and solve for "s".