Question

Investigate whether (10, 21, 29) forms a Pythagorean triple.

Answer 1

Let’s apply the Pythagorean Theorem to (10, 21, 29).

(a, b, c) = (10, 21, 29)

Using the Pythagorean Theorem formula, we have:

10² + 21² = 29²

100 + 441 = 841

541 ≠ 841

The result shows that the sum of the squares of the two shorter sides (10 and 21) does not equal the square of the longest side (29).

Therefore, the given set of integers (10, 21, 29) does not satisfy the Pythagorean Theorem, and it is not a Pythagorean triple.