Fill in the blanks!

To find the length of the hypotenuse \( c \) using the given information, let's fill in the blanks step by step:

1. Start with the Pythagorean theorem:

   \[ a^2 + b^2 = c^2 \]

2. Substitute the given values:

   \[ 7^2 + 24^2 = c^2 \]

3. Calculate \( 7^2 \) and \( 24^2 \):

   \[ 7^2 = 49 \] \[ 24^2 = 576 \]

4. Substitute these values into the equation:

   \[ 49 + 576 = c^2 \]

5. Fill in the blanks:

   • First blank: 49
   • Second blank: \( c^2 = 625 \)

6. Now, we will find \( c \):

   \[ \sqrt{625} = \sqrt{c^2} \]

7. Therefore, \( c \) is given by:

   \[ c = 25 \text{ ft} \]

So, the filled-in values are:

• \( 49 + 576 = c^2 \)
• \( c^2 = 625 \)
• \( c = 25 \text{ ft} \)

Distance is always positive, thus \( c = 25 \) ft is the final answer.