Find the slant height of the square pyramid The height is 15 and the side length 16
To find the slant height of a square pyramid, we can use the Pythagorean theorem. The slant height (l) can be found by finding the hypotenuse of a right triangle, where the base of the triangle is half of the pyramid's base side length (8) and the height is the pyramid's height (15).
Using the Pythagorean theorem: l² = 8² + 15²
l² = 64 + 225
l² = 289
l = √289
l = 17
Therefore, the slant height of the square pyramid is 17.
To find the slant height of a square pyramid, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle. Let's denote the side length of the square base as s and the height of the pyramid as h.
Given:
s = 16
h = 15
To find the slant height, we can use the Pythagorean theorem:
slant height = √(s² + (h/2)²)
Substituting the given values into the formula:
slant height = √(16² + (15/2)²)
slant height = √(256 + 112.5)
slant height = √368.5
Rounding the answer to two decimal places, the slant height of the square pyramid is approximately 19.19.
To find the slant height of a square pyramid, you can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle, with the height as one leg and the side length as the other leg.
In this case, the height of the pyramid is given as 15 and the side length is given as 16. Let's call the slant height "s."
Using the Pythagorean theorem, we can set up the equation:
s^2 = 16^2 + 15^2
s^2 = 256 + 225
s^2 = 481
To find the value of "s," we can take the square root of both sides of the equation:
s = √(481)
Now, we can use a calculator to find the square root of 481:
s ≈ 21.93
Therefore, the slant height of the square pyramid is approximately 21.93.