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)
Responses
To find the height of the base, we can use the formula for the surface area of a regular triangular pyramid:
Surface Area = (base perimeter * slant height) / 2
We know that the surface area is 100 ft^2, the base perimeter is 6 ft, and the slant height is 8 ft. Plugging these values into the formula, we have:
100 = (6 * 8) / 2
Simplifying, we get:
100 = 48 / 2
100 = 24
Since this equation is not true, it seems that there might be an error in the given information. Please check the values provided and provide the correct information so that we can calculate the height of the base.