Final answer:
The unknown length in the given right triangle is approximately 12.07 ft.
Step-by-step explanation:
The unknown length in the given right triangle can be found using the Pythagorean Theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, we have one leg measuring 7.1 ft and the hypotenuse measuring 14 ft. Let's denote the unknown length as 'x'. Using the Pythagorean Theorem, we can write the equation as:
x² + 7.1² = 14²
Simplifying the equation:
x² + 50.41 = 196
Subtracting 50.41 from both sides:
x² = 145.59
Taking the square root of both sides:
x = √145.59
x ≈ 12.07 ft