Determine whether a Triangle with side lengths of 10, 15 and 17 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 = 15, c = 17  (c cannot be less than a or b)
a² + b² = (10)² + (15)²
a² + b² = 100 + 225 = 325
c² = (17)² = 289
a² + b² ≠ c²  (325 ≠ 289)
Therefore, a Triangle with side lengths of 10, 15 and 17 is NOT a Right Triangle
Note: Since a² + b² > c²  (325 > 289), the Triangle is an Acute Triangle