Question

In a right triangle, the square of the hypotenuse is equal to the ………… of the square of the other two sides.

• A. Product
• B. Sum
• C. Difference
• D. Ratio

Hint:

The Pythagorean theorem is a fundamental property of right triangles. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. This relationship is crucial for solving problems involving right triangles.

Answer 1

The Correct Option is B

Step 1: Understand the Pythagorean Theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse ($ c $) is equal to the sum of the squares of the lengths of the other two sides ($ a $ and $ b $). Mathematically, this is expressed as: $$ c^2 = a^2 + b^2. $$ Step 2: Analyze Each Option.
Let's evaluate each option based on the Pythagorean theorem: 1. Product:
Incorrect, as the theorem does not involve multiplying the squares of the sides. 2. Sum:
Correct, as the theorem explicitly states that the square of the hypotenuse is the sum of the squares of the other two sides. 3. Difference:
Incorrect, as the theorem does not involve subtracting the squares of the sides. 4. Ratio:
Incorrect, as the theorem does not involve dividing the squares of the sides. Step 3: Final Answer. $$ (2) \mathbf{\text{Sum}} $$