We can use the Pythagorean theorem to find the length of the edge of the square base. The slant height, the height, and the edge of the square base form a right triangle.
Let's denote the length of the edge of the square base as $l$.
Using the Pythagorean theorem, we have:
\[l^2 + 321^2 = 436.5^2\]
Simplifying the equation, we get:
\[l^2 + 103041 = 190522.25\]
Subtracting 103041 from both sides, we get:
\[l^2 = 87481.25\]
Finally, taking the square root of both sides, we find:
\[l \approx \sqrt{87481.25} \approx \boxed{295.8 \text{ feet}}\]
Therefore, the length of the edge of the square base is approximately 295.8 feet.
A square pyramid is shown. Its height is shown with a dotted line labeled 321 feet. Its slant height is shown with a dotted line labeled 436.5 feet. The variable l is shown along one of the edges of the square base.
The Pyramid is an arena in Memphis, Tennessee. Its height is 321 ft., and its slant height is 436.5 ft. Find the length of the edge of the square base. Round the answer to the nearest tenth.
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