Determine whether a Triangle with side lengths of 10, 49 and 50 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 = 49, c = 50  (c cannot be less than a or b)
a² + b² = (10)² + (49)²
a² + b² = 100 + 2,401 = 2,501
c² = (50)² = 2,500
a² + b² ≠ c²  (2,501 ≠ 2,500)
Therefore, a Triangle with side lengths of 10, 49 and 50 is NOT a Right Triangle
Note: Since a² + b² > c²  (2,501 > 2,500), the Triangle is an Acute Triangle