Question

Hight 12 ft base 8 ft wide 6 ft

What is the pyramid's length

Fy

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the pyramid, we can use the Pythagorean theorem.

The base of the pyramid is 8ft wide and 6ft long, so we can view this as a right-angled triangle.

Let x be the length of the pyramid. We can create another right-angled triangle with the height (12ft), the length (x), and the slant height of the pyramid (Fy).

Using the Pythagorean theorem:
x^2 + 6^2 = Fy^2
x^2 + 36 = Fy^2

Since Fy is the hypotenuse of a right triangle with legs of lengths 6ft and 12ft, we can find Fy using the Pythagorean theorem again:
Fy^2 = 6^2 + 12^2
Fy^2 = 36 + 144
Fy^2 = 180
Fy = √180
Fy ≈ 13.42

Now we can substitute the value of Fy back into the first equation:
x^2 + 36 = 180
x^2 = 180 - 36
x^2 = 144
x = √144
x = 12

Therefore, the length of the pyramid is 12ft.