Determine whether a Triangle with side lengths of 10, 13 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 = 13, c = 16  (c cannot be less than a or b)
a² + b² = (10)² + (13)²
a² + b² = 100 + 169 = 269
c² = (16)² = 256
a² + b² ≠ c²  (269 ≠ 256)
Therefore, a Triangle with side lengths of 10, 13 and 16 is NOT a Right Triangle
Note: Since a² + b² > c²  (269 > 256), the Triangle is an Acute Triangle