Question

Which of the following form a Pythagorean Triplet?

• A. 8, 15, 17
• B. 16, 17, 18
• C. 3, 4, 5
• D. 19, 20, 21

Answer 1

Answer: (A), (C)

The correct options are
A

8, 15, 17

C

3, 4, 5

If the sum of the squares of two natural numbers equals the square of the third number, then such numbers are called Pythagorean triplets

Pythagorean triplets form the three sides of a right-angled triangle.

Observe that ${15}^2+8^2=225+64=289={17}^2$

Also $3^2+4^2=9+16=25=5^2$

and hence these numbers form Pythagoreanea triplet.