Which of these sets of side lengths are Pythagorean triples? Check all that apply.

Question

10, 24, 26

14, 48, 49

9, 12, 16

9, 40, 41

15, 20, 25

Answer 1

This is a simple multiplication problem.

A "Pythagorean Triple" obeys the Pythagorean Theorem c² = a² + b²

^

a             b             c                              a²        b²        c²                  a² + b²

10           24           26                           100        576        676         yes        676

14           48           49                           196        2304      2401                     2500

9             12           16                           81           144        256                        225

9             40           41                           81           1600      1681      yes        1681

15           20           25                           225        400        625         yes        625

Note: Reduce these and you will have (5,12,13), (9,40,41), and (3,4,5).