find the slant height of a square pyramid if the height is 7 and the width is 16

Answer 1

To find the slant height of a square pyramid, we can use the Pythagorean theorem.

In a square pyramid, the slant height is the hypotenuse of one of the triangular faces. Therefore, we can use the height and the width to find the slant height.

We can consider the right triangle formed by the height, width, and slant height of the pyramid.

Using the Pythagorean theorem, we have:

slant height^2 = height^2 + (0.5 * width)^2

slant height^2 = 7^2 + (0.5 * 16)^2
slant height^2 = 49 + 64
slant height^2 = 113

Taking the square root of both sides, we have:

slant height = √113

Therefore, the slant height of the square pyramid is approximately 10.63.

Answer 2

find the slant height of a square pyramid if the height is 7 and the diagonal is 16

Answer 3

To find the slant height of a square pyramid, we can use the Pythagorean theorem.

In a square pyramid, the slant height is the distance from the apex to one of the corners on the base.

We can consider the right triangle formed by the slant height, half the diagonal of the base, and the height of the pyramid.

Using the Pythagorean theorem, we have:

slant height^2 = (half diagonal)^2 + height^2

slant height^2 = (0.5 * 16)^2 + 7^2
slant height^2 = 8^2 + 49
slant height^2 = 64 + 49
slant height^2 = 113

Taking the square root of both sides, we have:

slant height = √113

Therefore, the slant height of the square pyramid is approximately 10.63.