Determine whether a Triangle with side lengths of 10, 17 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 = 17, c = 26  (c cannot be less than a or b)
a² + b² = (10)² + (17)²
a² + b² = 100 + 289 = 389
c² = (26)² = 676
a² + b² ≠ c²  (389 ≠ 676)
Therefore, a Triangle with side lengths of 10, 17 and 26 is NOT a Right Triangle
Note: Since a² + b² < c²  (389 < 676), the Triangle is an Obtuse Triangle