Pythagoras Theorem 90C844

1. The problem asks which diagram correctly shows Pythagoras' Theorem. 2. Pythagoras' Theorem states that in a right triangle, the square of the hypotenuse ($c$) is equal to the sum of the squares of the other two sides ($a$ and $b$). The formula is: $$c^2 = a^2 + b^2$$ 3. Let's analyze each diagram's equation: - Diagram A: $a^2 = b^2 + c^2$ (Incorrect, the hypotenuse should be on the left side squared) - Diagram B: $a + b = c$ (Incorrect, sums of sides, not squares) - Diagram C: $a^2 + b^2 = c^2$ (Correct, matches Pythagoras' Theorem) - Diagram D: $a = b + c$ (Incorrect, sums of sides, not squares) 4. Therefore, Diagram C correctly shows Pythagoras' Theorem. **Final answer:** Diagram C shows Pythagoras' Theorem.