Find the slant height of the square pyramid.
width= 16 middle length=15
To find the slant height of the square pyramid, we can use the Pythagorean theorem.
The slant height can be found by finding the hypotenuse of a right triangle with the width and mid length as the other two sides.
Using the Pythagorean theorem, we have:
slant height^2 = width^2 + mid length^2
slant height^2 = 16^2 + 15^2
slant height^2 = 256 + 225
slant height^2 = 481
Taking the square root of both sides, we have:
slant height = √481
Therefore, the slant height of the square pyramid is approximately 21.93 units (rounded to two decimal places).
who many units?
The slant height of the square pyramid is approximately 21.93 units.
To find the slant height of a square pyramid, you need to know the width of the base and the length of one of the slant edges (also known as the lateral edges).
In this case, you're given the width of the base as 16 and the middle length as 15. However, it's important to note that the term "middle length" is not commonly used to describe a measurement in a square pyramid. Typically, the dimensions provided are the width (or side length) of the base and the height of the pyramid.
If we assume that the "middle length" provided refers to the height of the pyramid, we can continue with the calculation as follows:
1. Calculate the length of the slant edge using the Pythagorean theorem. The slant edge is the hypotenuse of a right triangle where the height of the pyramid forms one of the legs and half the width of the base forms the other leg. Let's call the slant edge length 's'.
Using the formula:
s^2 = (1/2 * width)^2 + height^2
Given that width = 16 and height = 15:
s^2 = (1/2 * 16)^2 + 15^2
s^2 = 8^2 + 15^2
s^2 = 64 + 225
s^2 = 289
s = sqrt(289)
s = 17
So, the slant height of the square pyramid is 17 units.