1. The problem states: In any triangle, the _______ of the hypotenuse is equal to the sum of the ______ of the other two sides. 2. This is a classic property of right triangles known as the Pythagorean theorem. 3. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. 4. Mathematically, if $c$ is the hypotenuse and $a$ and $b$ are the other two sides, then: $$c^2 = a^2 + b^2$$ 5. This means the blank spaces should be filled with "square" and "squares" respectively. 6. So, the complete statement is: In any triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 7. This property only holds for right triangles, where the hypotenuse is the side opposite the right angle. Final answer: The square of the hypotenuse is equal to the sum of the squares of the other two sides.