Determine whether a Triangle with side lengths of 5, 8 and 9 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 = 5, b = 8, c = 9  (c cannot be less than a or b)
a² + b² = (5)² + (8)²
a² + b² = 25 + 64 = 89
c² = (9)² = 81
a² + b² ≠ c²  (89 ≠ 81)
Therefore, a Triangle with side lengths of 5, 8 and 9 is NOT a Right Triangle
Note: Since a² + b² > c²  (89 > 81), the Triangle is an Acute Triangle