Determine whether a Triangle with side lengths of 10, 11 and 13 is a Right Triangle

Given Side Lengths: 10, 11, 13
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a² + b² = c²
From the given side lengths, let a = 10, b = 11, c = 13  (c cannot be less than a or b)
a² + b² = (10)² + (11)²
a² + b² = 100 + 121 = 221
c² = (13)² = 169
a² + b² ≠ c²  (221 ≠ 169)
Therefore, a Triangle with side lengths of 10, 11 and 13 is NOT a Right Triangle
Note: Since a² + b² > c²  (221 > 169), the Triangle is an Acute Triangle