2 Answers

Alexander Hramov · Answer 1 · 2022-08-13T08:02:06+0000

Answer:

4

Explanation:

The slant height of the pyramid is marked as 5. If we drew and auxiliary 2D right triangle in the pyramid, this slant height would be the hypotenuse and one of the legs would be the height of the pyramid. The base leg would be equal to half of a side of the pyramid (3). Therefore, we can use the Pythagorean theorem to find the height (
):

$3^2+h^2=5^2,\\h^2=16,\\h=\boxed{4}$

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