Final answer:
The length of the hypotenuse of a right triangle with legs measuring 4 feet and 7 feet is calculated using the Pythagorean theorem and is approximately 8.1 feet.
Step-by-step explanation:
The length of the hypotenuse of a right triangle with legs measuring 4 feet and 7 feet can be calculated using the Pythagorean theorem, which states that in a right triangle the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Therefore, the formula becomes c2 = a2 + b2.
Substituting the given values into the equation:
c2 = 42 + 72 = 16 + 49 = 65
Now, solve for c (the hypotenuse):
c = √65 ≈ 8.06 feet
So, the length of the hypotenuse is approximately 8.1 feet, which corresponds to one of the options provided in the question.