1. **Problem Statement:** Find the length of the diagonal of a basketball court that is 94 feet long and 50 feet wide. 2. **Formula:** Use the Pythagorean Theorem: $$a^2 + b^2 = c^2$$ where $a$ and $b$ are the legs of the right triangle (length and width), and $c$ is the diagonal. 3. **Substitute values:** $$94^2 + 50^2 = c^2$$ 4. **Calculate squares:** $$8836 + 2500 = c^2$$ 5. **Add:** $$11336 = c^2$$ 6. **Solve for $c$:** $$c = \sqrt{11336}$$ 7. **Calculate square root:** $$c \approx 106.4$$ 8. **Answer:** The length of the diagonal of the basketball court is approximately 106.4 feet. **Explanation:** We used the Pythagorean Theorem because the diagonal forms a right triangle with the length and width of the court. By squaring the length and width, adding them, and then taking the square root, we find the diagonal length.