Question

Question

Find the slant height x of the pyramid shown, to the nearest tenth.
A right square pyramid is shown. The sides of the square base measure 7 millimeters. A dashed line which is labeled x extends from the middle of a side of the base along a triangular surface to the vertex at the top of the pyramid. A small square is located where the dashed line intersects with the base. The pyramid height is 6 millimeters.
(1 point)
Responses

4.35 mm
4.35 mm

9.2 mm
9.2 mm

6.9 mm
6.9 mm

3.6 mm

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the slant height x of the pyramid, we can use the Pythagorean theorem.

Consider the right triangle formed by the slant height x, half the side of the square base (3.5 mm), and the height of the pyramid (6 mm).

Using the Pythagorean theorem:
x^2 = (3.5)^2 + 6^2
x^2 = 12.25 + 36
x^2 = 48.25
x = sqrt(48.25)
x ≈ 6.9 mm

Therefore, the slant height x of the pyramid is approximately 6.9 mm.

The closest option is:
6.9 mm