Determine whether a Triangle with side lengths of 24, 35 and 51 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 = 24, b = 35, c = 51  (c cannot be less than a or b)
a² + b² = (24)² + (35)²
a² + b² = 576 + 1,225 = 1,801
c² = (51)² = 2,601
a² + b² ≠ c²  (1,801 ≠ 2,601)
Therefore, a Triangle with side lengths of 24, 35 and 51 is NOT a Right Triangle
Note: Since a² + b² < c²  (1,801 < 2,601), the Triangle is an Obtuse Triangle