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)
The surface area of a regular triangular pyramid is given by the formula:
SA = (1/2) * base * slant height + base^2
We are given that SA = 100 ft^2, base = 6 ft, and slant height = 8 ft.
Substituting these values into the formula, we get:
100 = (1/2) * 6 * 8 + 6^2
Simplifying the equation, we have:
100 = 24 + 36
100 = 60
This equation is not true, so there must be a mistake in the problem statement or equation. Please double-check the values and the equation provided.