Write a Pythagorean Triplet Whose Smallest Number is 8 and Verify your Answer

Answer: A Pythagorean triplet is a collection of three positive numbers, denoted by the letters a, b, and c, that satisfy the equation a²+b² = c² in its whole.

The Pythagorean triplet is what we are looking for. Triplets based on the principles of Pythagoras have the form 2m, m² -1, and m² + 1.

It is a fact that 8 is the least significant digit in the sequence.

Given,

2m = 8

m = 4

Now,

To find the second number, = m² -1 = 4² – 1 = 15 

To find the  third number, = m² + 1 = 4² + 1 = 17.

Hence, 8, 15, and 17 is the triplet.

It can be verified as:

17² = 8² + 15²

289 = 64 + 225

289 = 289.

Hence, it is verified.