Question

Which of the following are Pythagorean triplets?

• A. (6,8,10)
• B. (5,12,13)
• C. (7,13,15)
• D. (3,4,5)

Answer 1

Answer: (A), (B), (D)

The correct options are
A (6,8,10)
B (5,12,13)
D (3,4,5)

In a pythagorean triplet, the square of the largest number is the sum of the squares of the other two numbers.
$(6{)}^2+(8{)}^2=36+64=100={10}^2$
$(12{)}^2+(5{)}^2=144+25=169={13}^2$
$(7{)}^2+(13{)}^2=49+169=218\ne 225=(15{)}^2$
$(3{)}^2+(4{)}^2=9+16=25=5^2$