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The diagram shows a classical right triangle formed by squares at the vertices of the triangle. Based on the image, the squares are labeled \( D \), \( E \), and \( F \), where \( F \) is adjacent to both \( D \) and \( E \).

This is related to the Pythagorean theorem, which states that for a right triangle, the sum of the areas of the squares on the two shorter sides (here, squares \( D \) and \( E \)) is equal to the area of the square on the hypotenuse (here, square \( F \)).

Mathematically, if the side lengths of squares \( D \), \( E \), and \( F \) are \( d \), \( e \), and \( f \), respectively, then the Pythagorean theorem tells us:

\[
d^2 + e^2 = f^2
\]

Since the area of a square is the side length squared, this directly means:

\[
\text{Area of square } D + \text{Area of square } E = \text{Area of square } F
\]

Thus, the correct statement is that **the sum of the areas of Square D and Square E is equal to the area of Square F**.

Would you like further details on how the Pythagorean theorem applies here or any other clarifications?

Here are 5 related questions to deepen your understanding:
1. How is the Pythagorean theorem used to relate the sides of a right triangle?
2. Can the Pythagorean theorem be applied to any triangle, or only specific types?
3. How do we compute the area of a square given its side length?
4. What real-world applications can you find where the Pythagorean theorem is useful?
5. How can you visually verify the Pythagorean theorem with geometric shapes like squares?

**Tip:** Whenever dealing with right triangles, remember that the Pythagorean theorem always relates the sides of the triangle, giving you a powerful tool to connect geometry and algebra.

The diagram shows Squares D, E, and F joined at vertices to form a right triangle. The sum of the areas of Square D and Square E is equal to the area of Square F.

This problem demonstrates how the Pythagorean theorem relates the areas of squares drawn on the sides of a right triangle. It shows that the sum of the areas of Square D and Square E equals the area of Square F, based on the side lengths of the triangle.

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