Question

Could someone explain Pythagorean triples using this question?:
What whole number forms a Pythagorean triple with 40 and 41?
a. 50
b. 9
c. 15
d. 39
Thanks! x

Answer 1

a^2+b^2=c^2

Answer 2

So any three numbers that "fit" into the Pythagorean theorem makes a Pythagorean triple?

Answer 3

exactly,

a common example is the Pythagorean triple 3,4,5

because 3^2 + 4^2 = 5^2
9 + 16 = 25

Answer 4

Got it. Thanks so much!

Answer 5

So for this problem, what would the answer be? I just tried to work it out, and I must be doing something wrong because I'm not coming up with an answer that's a choice. I've also tried plugging in the choices….

Answer 6

Just figured it out. :)

Answer 7

maybe you have the sides in the wrong order,

Answer 8

Yup. That was my problem.

Answer 9

what final answer did you get?

Answer 10

b. 9

Answer 11

YESssssss \[\color{red}\checkmark \]

Answer 12

Haha thanks for your help!