find the slant height of a square pyramid
slant 16
height 15
how do i do it
To find the slant height of a square pyramid, you can use the Pythagorean theorem.
In a square pyramid, the slant height is the hypotenuse of a right triangle, with the height being one of the legs and the length of the base (side of the square) being the other leg.
Let's call the slant height "s", the height "h", and the length of the base "a".
Using the Pythagorean theorem, the equation will be: s^2 = h^2 + (a/2)^2
Replacing the given values into the equation:
s^2 = 15^2 + (16/2)^2
s^2 = 225 + 64
s^2 = 289
To find the slant height, we need to square root both sides of the equation:
s = √289
s = 17
Therefore, the slant height of the square pyramid is 17 units.