Question

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Find the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.

Answer 1

Answer:

Step-by-step explanation:

The base is 16 cm by 16 cm.

OD = 8 cm

AD = √(8² + 7²) = √113 ≅ 10.6 cm

Answer 2

ANSWER:

Since the base is a square, a side of the base = FC/√2 = 16

The slant height = √{(16/2)² + 7²}

= √(8² + 7²)

= √(64 + 49)

= √113 ≈ 10.6 cm.