Find the slant height of the square pyramid.

Question

a:15
b:16

Answer 1

To find the slant height of a square pyramid, we can use the Pythagorean theorem. The slant height forms a right angle with the base of the pyramid, so we can form a right triangle.

Let's call the slant height "s", one side length of the base "a", and the height of the pyramid "b".

Using the Pythagorean theorem, we have:

s^2 = a^2 + b^2

Substituting the given values, we have:

s^2 = 15^2 + 16^2

s^2 = 225 + 256

s^2 = 481

Taking the square root of both sides, we have:

s = sqrt(481)

s ≈ 21.93

Therefore, the slant height of the square pyramid is approximately 21.93.