The base area is 49mm the height is 5mm
Find the slant height x of the pyramid shown, round to the nearest tenth. (1 point)
(Choose 1 Response)
6.1mm
3.6mm
8.6mm
9.2mm
To find the slant height x of the pyramid, we can use the Pythagorean theorem.
The slant height (x) is the hypotenuse of a right triangle formed by the height (5 mm), half the base (49/2 = 24.5 mm), and x.
Using the Pythagorean theorem:
x^2 = (24.5)^2 + 5^2
x^2 = 600.25 + 25
x^2 = 625.25
Taking the square root of both sides:
x ≈ 25.04 mm
Rounding to the nearest tenth:
x ≈ 25.0 mm
So, the correct answer is not listed in the options provided.