Determine whether a Triangle with side lengths of 11.4, 21.2 and 23 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 = 11.4, b = 21.2, c = 23  (c cannot be less than a or b)
a² + b² = (11.4)² + (21.2)²
a² + b² = 129.96 + 449.44 = 579.4
c² = (23)² = 529
a² + b² ≠ c²  (579.4 ≠ 529)
Therefore, a Triangle with side lengths of 11.4, 21.2 and 23 is NOT a Right Triangle
Note: Since a² + b² > c²  (579.4 > 529), the Triangle is an Acute Triangle