Identify, with reason, if the following is a Pythagorean triplet. (24, 70, 74)

Explanation:-

Yes, (24, 70, 74) is a Pythagorean triplet.

A Pythagorean triplet is a set of three positive integers that satisfy the Pythagorean theorem, which states that in a right-angled 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 other two sides.

In the given set (24, 70, 74), the two shorter sides of the triangle are 24 and 70, and the longest side (the hypotenuse) is 74.

Using the Pythagorean theorem, we can verify that:

24^2 + 70^2 = 576 + 4900 = 5476 = 74^2

So, (24, 70, 74) satisfies the Pythagorean theorem, and hence is a Pythagorean triplet.