Question

Which of the following statements accurately summarizes a key aspect of the Pythagorean Theorem?

A) The Pythagorean Theorem states that in any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

B) The Pythagorean Theorem asserts that the length of the hypotenuse is always twice the length of the longest leg in a right-angled triangle.

C) According to the Pythagorean Theorem, the product of the lengths of the two legs in a right-angled triangle is equal to the square of the hypotenuse.

D) The Pythagorean Theorem applies only to isosceles right-angled triangles and does not hold for other types of triangles.

Answer 1

The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides in a right-angled triangle.

Step-by-step explanation:

The Pythagorean Theorem states that in any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

This relationship can be expressed as a² + b² = c², where 'a' and 'b' are the lengths of the legs of the triangle, and 'c' is the length of the hypotenuse.