1. **Problem statement:** We are given a right triangle with legs measuring 3 ft and 11 ft, and we need to find the length of the hypotenuse. 2. **Formula used:** In a right triangle, the Pythagorean theorem applies: $$c^2 = a^2 + b^2$$ where $c$ is the hypotenuse, and $a$ and $b$ are the legs. 3. **Substitute the known values:** $$c^2 = 3^2 + 11^2$$ 4. **Calculate the squares:** $$c^2 = 9 + 121$$ 5. **Add the values:** $$c^2 = 130$$ 6. **Find the hypotenuse by taking the square root:** $$c = \sqrt{130}$$ 7. **Calculate the square root:** $$c \approx 11.4$$ **Final answer:** The hypotenuse is approximately 11.4 ft.