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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

Respuesta :

The answer is A. Cause 18+24=42
bcalle
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

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