Determine whether a Triangle with side lengths of 10, 26 and 28 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 = 26, c = 28  (c cannot be less than a or b)
a² + b² = (10)² + (26)²
a² + b² = 100 + 676 = 776
c² = (28)² = 784
a² + b² ≠ c²  (776 ≠ 784)
Therefore, a Triangle with side lengths of 10, 26 and 28 is NOT a Right Triangle
Note: Since a² + b² < c²  (776 < 784), the Triangle is an Obtuse Triangle