1. **State the problem:** We need to find the length of the hypotenuse of a right triangle with legs measuring 6 ft and 8 ft. 2. **Formula used:** For a right triangle, the Pythagorean theorem applies: $$c = \sqrt{a^2 + b^2}$$ where $c$ is the hypotenuse, and $a$ and $b$ are the legs. 3. **Apply the formula:** Substitute $a = 6$ and $b = 8$: $$c = \sqrt{6^2 + 8^2}$$ 4. **Calculate squares:** $$c = \sqrt{36 + 64}$$ 5. **Add inside the square root:** $$c = \sqrt{100}$$ 6. **Simplify the square root:** $$c = 10$$ 7. **Answer:** The length of the hypotenuse is **10 ft**.