What is the Pythagorean theorem?

What is the Pythagorean theorem?

• A. a² + b² = c²
• B. a + b = c
• C. a - b = c
• D. c² = a² - b²

Answer: (A)

The Pythagorean theorem is a fundamental principle in geometry that relates to right-angled triangles. It states that in such a triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This relationship is mathematically represented as a² + b² = c², where 'c' is the length of the hypotenuse, and 'a' and 'b' are the lengths of the triangle's other two sides. The theorem is significant because it allows us to calculate the length of one side of a right-angled triangle if the lengths of the other two sides are known. It forms the basis for various practical applications, such as in construction, navigation, and physics. Understanding how to apply the Pythagorean theorem can assist in solving real-world problems where distances and angles are involved.

The Pythagorean theorem is a fundamental principle in geometry that relates to right-angled triangles. It states that in such a triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This relationship is mathematically represented as a² + b² = c², where 'c' is the length of the hypotenuse, and 'a' and 'b' are the lengths of the triangle's other two sides.

The theorem is significant because it allows us to calculate the length of one side of a right-angled triangle if the lengths of the other two sides are known. It forms the basis for various practical applications, such as in construction, navigation, and physics. Understanding how to apply the Pythagorean theorem can assist in solving real-world problems where distances and angles are involved.