Determine whether a Triangle with side lengths of 4, 5 and 6 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 = 4, b = 5, c = 6  (c cannot be less than a or b)
a² + b² = (4)² + (5)²
a² + b² = 16 + 25 = 41
c² = (6)² = 36
a² + b² ≠ c²  (41 ≠ 36)
Therefore, a Triangle with side lengths of 4, 5 and 6 is NOT a Right Triangle
Note: Since a² + b² > c²  (41 > 36), the Triangle is an Acute Triangle