The diagram illustrates three squares (N, L, K) that form a right triangle, following the Pythagorean theorem. Here's the reasoning:

1. Pythagorean Theorem Application: In a right triangle, the sum of the areas of the squares on the two shorter sides (legs) equals the area of the square on the hypotenuse.

   • Square $N$: Corresponds to one leg of the triangle.
   • Square $L$: Corresponds to the other leg.
   • Square $K$: Corresponds to the hypotenuse.

   Thus: $\text{Area of } N + \text{Area of } L = \text{Area of } K$

2. True Statement: The statement that reflects the Pythagorean theorem relationship among the areas of the squares is true.

Would you like a detailed explanation or further breakdown of how the theorem applies to this scenario?

Expanding Understanding:

1. How does the Pythagorean theorem relate to geometric area?
2. Can this principle apply to non-square figures, like semicircles or triangles?
3. What happens when the triangle is not a right triangle—do these relationships hold?
4. How can the Pythagorean theorem be proven using the concept of square areas?
5. What practical applications rely on this geometric principle?

Tip: Always visualize or sketch out geometric relationships to better grasp the theorem’s application.