Question

The following sets of numbers are possible side lengths of a triangle. Which of the following sets forms a Pythagorean triple?

A. 18, 24, 42
B. 45, 28, 53
C. 15, 30, 45
D. 33, 77, 22

Answer 1

The answer is A. Cause 18+24=42

Answer 2

A Pythagorean Triple:
a^2 + b^2 = c^2 where a, b, & c are whole numbers
18^2 + 24^2 ?=? 42^2
324 + 576 ?=? 1764
900 ?=? 1764 FALSE

28^2 + 45^2 ?=? 53^2
784 + 2025 ?=? 2809
2809 = 2809 TRUE

15^2 + 30^2 ?=? 45^2
225 + 900 ?=? 2025
1125 ?=? 2025 FALSE

22^2 + 33^2 ?=? 77^2
484 + 1089 ?=? 5929
1573 ?=? 5929 FALSE

LETTER B is the answer