ConfusedGhost
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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.

In the square pyramid shown below the diagonal length FC 162 centimeters and the height of the pyramid is 7 centimeters Find the slant height AD of the pyramid class=

Respuesta :

akposevictor

Applying the Pythagorean theorem, the slant height, to the nearest tenth is: 10.6 cm.

What is the Pythagorean Theorem?

The Pythagorean theorem states that, if a and b are legs of a right triangle, the third side (hypotenuse), c, would be: c = √(a² + b²).

Thus, we have the following:

Height of pyramid (a) = 7 cm

b = [(16√2)/√2]/2 = 8

Slant height (c) = ?

Applying the Pythagorean theorem, we have:

c = [(7² + 8²)

c = √(49 + 64)

c = 10.6 cm.

Therefore, applying the Pythagorean theorem, the slant height, to the nearest tenth is: 10.6 cm.

Learn more about the Pythagorean theorem on:

https://brainly.com/question/654982

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