The given image shows a right triangle with legs measuring 48 meters and 20 meters. We are tasked with finding the hypotenuse $c$ using the Pythagorean theorem.

The Pythagorean theorem states that:

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

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

Here, $a = 48$ meters and $b = 20$ meters, so:

$c^2 = 48^2 + 20^2$

Now, let's compute $c$.The length of the hypotenuse $c$ is 52.0 meters.

Would you like any further explanation or details?

Here are five related questions for deeper understanding:

1. What is the Pythagorean theorem and how does it apply to right triangles?
2. How would you solve for a leg if the hypotenuse and one leg are known?
3. Can the Pythagorean theorem be applied to non-right triangles?
4. How can you determine if a triangle is a right triangle using side lengths?
5. What are some real-world applications of the Pythagorean theorem?

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