Answer:
9.2 cm.
Step-by-step explanation:
A pyramid has a horizontal square base of 12 cm. The vertex of the pyramid is 7 cm vertically above the base.
So, the height of the pyramid is 7 cm and half-length i.e. half base is equal to [tex]\frac{12}{2} = 6[/tex] cm.
Now, the slant height of a pyramid is the altitude of the side triangles.
Therefore, the length of the slant height will be equal to [tex]\sqrt{6^{2} + 7^{2}} = 9.219[/tex] cm ≈ 9.2 cm. (Answer)
