The pyramid is an area in Memphis Tennessee it’s height is 321ft and it’s slant height is 436.5ft find the length the edge of the square base. Round your answer to the nearest tenth
To find the length of the edge of the square base of the pyramid, we can use the Pythagorean theorem.
Let's denote the length of the edge of the square base as "x".
According to the Pythagorean theorem, the square of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the other two sides (in this case, the height and half the length of the edge of the base).
Therefore, we have:
x^2 = (321ft)^2 - (436.5ft)^2/4
Simplifying this equation:
x^2 = 103041 - 47674.0625
x^2 = 55366.9375
Taking the square root of both sides:
x = √55366.9375
x ≈ 235.3 ft
Therefore, the length of the edge of the square base is approximately 235.3 ft, rounded to the nearest tenth.