Question

Does each set of numbers form a Pythagorean triple? Explain.
4,5,6
10,24,26
15,20,25

Answer 1

square them

Answer 2

heck no
\[4^2+5^2\neq 6^2\]

Answer 3

a^2+b^2=c^2

Answer 4

it is an arithmetic check
does \(10^2+24^2=26^2\) ?
if so, yes
if not, no

Answer 5

simple check if three numbers are sides of right triangle via Pythagorean theorem. Pick c as biggest number, a,b- smallest and test if a^2+b^2=c^2 ;)