Determine whether a Triangle with side lengths of 18, 32 and 40 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 = 18, b = 32, c = 40  (c cannot be less than a or b)
a² + b² = (18)² + (32)²
a² + b² = 324 + 1,024 = 1,348
c² = (40)² = 1,600
a² + b² ≠ c²  (1,348 ≠ 1,600)
Therefore, a Triangle with side lengths of 18, 32 and 40 is NOT a Right Triangle
Note: Since a² + b² < c²  (1,348 < 1,600), the Triangle is an Obtuse Triangle