Question

How do I find the slant height of a square pyramid?

Answer 1

Let's say that the height of the square pyramid was 12. The base was 6, and we are left to find the slant height.

Answer 2

If you connect the base, height, and the slant height together, you can picture actually a right triangle.

Answer 3

Notice how for the base, I put 3. This right triangle would have the base be half of the total length of the base.

Answer 4

Finally use the Pythagorean Theorem, which is \(\large a^2 + b^2 = c^2\), to find the length of the slant height.

Answer 5

Thank you!!