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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.

What is the length of the hypotenuse of a right triangle with legs of 48 meters and 20 meters?

Learn how to solve for the hypotenuse of a right triangle with legs of 48 meters and 20 meters using the Pythagorean theorem. This problem is suitable for students in Grades 7-9 and helps reinforce key concepts in geometry.

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