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 (without the base) is given by the formula:
Area = (base perimeter * slant height) / 2
Since the base is a triangle with sides 6 ft each, the base perimeter is 3 * 6 = 18 ft.
Plugging in the values:
100 = (18 * 8) / 2
100 = 144 / 2
100 = 72
Since this is not a true statement, there must be a mistake in the problem setup. Please double-check the values given for the surface area, base length, and slant height.