For the square pyramid the lateral edge length e is 25 in and the slant height 8, is 24 in find the height of the pyramid H round the Answer to the nearest whole number. Hint: before finding the length of h, you will first need to find the length of r
To find the height of the pyramid (H), we need to find the length of the perpendicular from the apex to the base. This is represented by h.
To find h, we first need to find the length of r, which is the radius of the base.
Using the Pythagorean theorem, we can find the length of r:
r^2 = (25/2)^2 + 24^2
r^2 = 625/4 + 576
r^2 = 625/4 + 2304/4
r^2 = 2929/4
r ≈ √(2929/4)
r ≈ 27.04
Now that we have the length of r, we can find the height of the pyramid (h) using the Pythagorean theorem again:
h^2 = 8^2 - 27.04^2
h^2 = 64 - 731.1616
h^2 ≈ -667.1616
Since we cannot take the square root of a negative number, there must be an error in the given information. Please double-check the values provided for the lateral edge length (e) and slant height (s).