To solve this problem, we can use the Pythagorean theorem, which is given by the formula:

$a^2 + b^2 = c^2$

Where:

• $a$ and $b$ are the legs of the right triangle,
• $c$ is the hypotenuse.

From the image:

• $c = 41 \, \text{ft}$ (hypotenuse),
• $a = 9 \, \text{ft}$ (one leg),
• $b$ is the missing leg, which we need to find.

We can rearrange the formula to solve for $b$:

$b^2 = c^2 - a^2$

Substituting the values:

$b^2 = 41^2 - 9^2$

$b^2 = 1681 - 81 = 1600$

Now, take the square root of both sides:

$b = \sqrt{1600} = 40 \, \text{ft}$

So, the length of the missing leg is 40 feet.

Would you like more details or have any other questions?

Here are five related questions for practice:

1. How do you find the hypotenuse if both legs are known?
2. What are some real-world applications of the Pythagorean theorem?
3. How would you solve if both legs were decimals?
4. How does the Pythagorean theorem apply to 3D space?
5. What would happen if the triangle was not a right triangle?

Tip: Always double-check if the triangle is a right triangle before applying the Pythagorean theorem!