By the Pythagoras theorem, in a right-angled triangle:
ADifference of legs = hypotenuse
BSum of the legs = hypotenuse
CProduct of legs = hypotenuse
DSum of squares of the legs = square of the hypotenuse
Answer & Solution
Correct answer: D. Sum of squares of the legs = square of the hypotenuse
The Pythagoras theorem describes a fundamental relationship between the sides of a right-angled triangle.
1. **Identify the Sides**: In a right-angled triangle, the two sides that form the 90-degree angle are called the **legs** (let's call them $a$ and $b$). The longest side, opposite the right angle, is the **hypotenuse** ($c$).
2. **State the Formula**: The theorem states that:
$$a^2 + b^2 = c^2$$
3. **Translate to Words**:
- $a^2$ and $b^2$ represent the **squares of the legs**.
- The $+$ sign represents the **sum**.
- $c^2$ represents the **square of the hypotenuse**.
Therefore, the sum of the squares of the legs equals the square of the hypotenuse.
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