Determine whether a Triangle with side lengths of 36, 72 and 80 is a Right Triangle

Given Side Lengths: 36, 72, 80
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a² + b² = c²
From the given side lengths, let a = 36, b = 72, c = 80  (c cannot be less than a or b)
a² + b² = (36)² + (72)²
a² + b² = 1,296 + 5,184 = 6,480
c² = (80)² = 6,400
a² + b² ≠ c²  (6,480 ≠ 6,400)
Therefore, a Triangle with side lengths of 36, 72 and 80 is NOT a Right Triangle
Note: Since a² + b² > c²  (6,480 > 6,400), the Triangle is an Acute Triangle