To find the height of the base of the triangular pyramid, we can use the formula for the surface area of a regular triangular pyramid:
Surface Area = (1/2) * base * slant height + base * height
Since we're given that the surface area is 100 ft², the base is 6 ft, and the slant height is 8 ft, we can plug these values into the formula:
100 = (1/2) * 6 * 8 + 6 * height
Simplifying, we get:
100 = 24 + 6 * height
Subtracting 24 from both sides, we get:
76 = 6 * height
Dividing both sides by 6, we get:
height = 76/6 = 12.7 ft
Therefore, the height of the base is approximately 12.7 ft to the nearest tenth.
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
372 ft.
372 ft.
6.5 ft.
6.5 ft.
9.3 ft.
9.3 ft.
57.3 ft.
4 answers
pick the correct choice i gave you
The correct choice is:
9.3 ft.
9.3 ft.
was the answer right