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.