What is the length of the hypotenuse of a right triangle with legs measuring 5 feet and the square root of 36 feet?

• A. 7 feet
• B. 8 feet
• C. 10 feet
• D. Radical 61 feet

Answer: (D)

To determine the length of the hypotenuse of a right triangle when given the lengths of the two legs, you can apply the Pythagorean theorem. The theorem 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), which can be expressed as:

c² = a² + b².

In this case, the lengths of the legs are 5 feet and the square root of 36 feet. First, calculate the square root of 36, which is 6 feet. Now, the sides can be represented as 5 feet and 6 feet.

Next, you square the lengths of the legs:

a² = 5² = 25,

b² = 6² = 36.

Now, add these squares together:

c² = 25 + 36 = 61.

To find the length of the hypotenuse, take the square root of 61:

c = √61.

Therefore, the length of the hypotenuse is represented as radical 61 feet. This is why the correct answer is radical 61 feet; it accurately reflects the calculation based on the Pyth