Determine whether a Triangle with side lengths of 10, 25 and 26 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 = 25, c = 26  (c cannot be less than a or b)
a² + b² = (10)² + (25)²
a² + b² = 100 + 625 = 725
c² = (26)² = 676
a² + b² ≠ c²  (725 ≠ 676)
Therefore, a Triangle with side lengths of 10, 25 and 26 is NOT a Right Triangle
Note: Since a² + b² > c²  (725 > 676), the Triangle is an Acute Triangle