Determine whether a Triangle with side lengths of 12, 15 and 19 is a Right Triangle

A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a² + b² = c²
From the given side lengths, let a = 12, b = 15, c = 19  (c cannot be less than a or b)
a² + b² = (12)² + (15)²
a² + b² = 144 + 225 = 369
c² = (19)² = 361
a² + b² ≠ c²  (369 ≠ 361)
Therefore, a Triangle with side lengths of 12, 15 and 19 is NOT a Right Triangle
Note: Since a² + b² > c²  (369 > 361), the Triangle is an Acute Triangle