If a pyramid’s height is 321, and the slant height is 436.5, what’s the length of the base?

1 answer

To find the length of the base of the pyramid, we can use the Pythagorean theorem.

The height of the pyramid is one leg and the slant height is the hypotenuse. Let the length of the base be "x".

Using the Pythagorean theorem:

x^2 = 436.5^2 - 321^2
x^2 = 190,522.25 - 103,041
x^2 = 87,481.25

Taking the square root of both sides:

x = √87,481.25
x ≈ 295.79

Therefore, the length of the base of the pyramid is approximately 295.79 units.