Determine whether a Triangle with side lengths of 10, 12 and 16 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 = 10, b = 12, c = 16  (c cannot be less than a or b)
a² + b² = (10)² + (12)²
a² + b² = 100 + 144 = 244
c² = (16)² = 256
a² + b² ≠ c²  (244 ≠ 256)
Therefore, a Triangle with side lengths of 10, 12 and 16 is NOT a Right Triangle
Note: Since a² + b² < c²  (244 < 256), the Triangle is an Obtuse Triangle