Answer:
(16, 63, 65)
Step-by-step explanation:
A Pythagorean Triple is a set of positive integers, a, b and c that fits the rule: a² + b² = c²
Use the formula for generating triples (a, b, c):
(2m, m² - 1, m² + 1) where 2m is the smallest number
Let
- a = 2m
- b = m² - 1
- c = m² + 1
Given a = 16 ⇒ m = 8
⇒ b = 8² - 1 = 63
⇒ c = 8² + 1 = 65
So the pythogorean triple whose smallest number is 16 is (16, 63, 65)
