Question

Determine whether (9, 40, 41) is a Pythagorean triple or not.

Answer 1

Let’s check if (9, 40, 41) satisfies the Pythagorean Theorem.

(a, b, c) = (9, 40, 41)

The Pythagorean Theorem is given by a² + b² = c²

Now, plug in the values:

9² + 40² = 41²

81 + 1600 = 1681

1681 = 1681

Since the sum of the squares of the two shorter sides (9 and 40) equals the square of the longest side (41), the given set of integers (9, 40, 41) satisfies the Pythagorean Theorem.

Therefore, (9, 40, 41) is indeed a Pythagorean triple.