Determine whether a Triangle with side lengths of 12, 14 and 22 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 = 14, c = 22  (c cannot be less than a or b)
a² + b² = (12)² + (14)²
a² + b² = 144 + 196 = 340
c² = (22)² = 484
a² + b² ≠ c²  (340 ≠ 484)
Therefore, a Triangle with side lengths of 12, 14 and 22 is NOT a Right Triangle
Note: Since a² + b² < c²  (340 < 484), the Triangle is an Obtuse Triangle