Determine whether a Triangle with side lengths of 10, 20 and 24 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 = 20, c = 24  (c cannot be less than a or b)
a² + b² = (10)² + (20)²
a² + b² = 100 + 400 = 500
c² = (24)² = 576
a² + b² ≠ c²  (500 ≠ 576)
Therefore, a Triangle with side lengths of 10, 20 and 24 is NOT a Right Triangle
Note: Since a² + b² < c²  (500 < 576), the Triangle is an Obtuse Triangle