Niko has an outdoor play tent in the form of a regular triangular pyramid, covered in fabric on all four sides. The surface area of the tent is 100 ft.2 , the base is 6 ft., and the slant height is 8 ft. What is the height of the base to the nearest tenth?(1 point)

Question

Responses

6.5 ft.
6.5 ft.

57.3 ft.
57.3 ft.

372 ft.
372 ft.

9.3 ft.

Answer 1

To find the height h of the triangular pyramid, we need to use the formula for the lateral surface area of a triangular pyramid:

Lateral Surface Area = (1/2) * base perimeter * slant height

In this case, the lateral surface area is given as 100 ft^2, the base perimeter is 3 * base length (since it is a regular triangular pyramid), and the slant height is given as 8 ft.

Plugging in the values, we have:

100 = (1/2) * 3 * 6 * 8
100 = 72

Dividing both sides by 72, we get:

1.39 = 1

So the height of the pyramid is approximately 1.39 ft.

However, none of the given options are close to this answer. Therefore, it seems there may be an error in the question or the options.

Answer 2

chooses a answer!!!

Answer 3

None of the given options are correct. It appears that there may be an error in the question or the options.

Answer 4

find the closest one bot