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The problem asks about the distance between María's house and Pau's house, given that:

- María lives 500 meters from the school.
- Pau lives 800 meters from the same school.

The question is asking if we can determine the distance between María's house and Pau's house and calculate the exact value.

### To calculate the distance between their houses, we need to make certain assumptions:
1. If María, Pau, and the school are all in a straight line, then the distance between their houses would simply be the difference between their distances from the school. 

In this case, the distance between María and Pau would be:
\[
\text{Distance between María and Pau} = |800 - 500| = 300 \text{ meters}
\]

2. However, if their houses and the school form a triangle (e.g., if María and Pau live in different directions relative to the school), we would need more information, such as angles or the specific geometric arrangement, to calculate the exact distance using trigonometry (Pythagorean theorem, if it's a right triangle).

Based on the current information, if they live along the same line from the school, the distance is 300 meters.

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Do you need further clarification on this? Would you like more detailed explanations on the possible geometric scenarios?

Here are 5 follow-up questions related to this topic:

1. What would be the distance between their houses if they lived in opposite directions from the school?
2. How can we use the Pythagorean theorem to find the distance if they form a right triangle?
3. If the distance is not linear, what other mathematical methods can be applied to solve this?
4. What strategies can be used to estimate distances between locations without direct measurement?
5. How would the answer change if one of the distances to the school were expressed in kilometers?

**Tip**: When solving geometric distance problems, always consider whether the points lie on a straight line or form a triangle for more accurate solutions.

María vive a 500 metros de la escuela y Pau a 800 metros de la misma escuela. ¿Qué puedes decir de la distancia que hay entre la casa de María y la casa de Pau? ¿Puedes calcular el valor exacto?

Learn how to calculate the distance between María's and Pau's houses, given that they live 500 meters and 800 meters from the same school. This problem covers key geometry concepts and the absolute value distance formula. Suitable for students in Grades 6-8.

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