A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 11, b = 59, c = 61 (c cannot be less than a or b)
a2 + b2 = (11)2 + (59)2
a2 + b2 = 121 + 3,481 = 3,602
c2 = (61)2 = 3,721
a2 + b2 ≠ c2 (3,602 ≠ 3,721)
Therefore, a Triangle with side lengths of 11, 59 and 61 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (3,602 < 3,721), the Triangle is an Obtuse Triangle
From the given side lengths, let a = 11, b = 59, c = 61 (c cannot be less than a or b)
a2 + b2 = (11)2 + (59)2
a2 + b2 = 121 + 3,481 = 3,602
c2 = (61)2 = 3,721
a2 + b2 ≠ c2 (3,602 ≠ 3,721)
Therefore, a Triangle with side lengths of 11, 59 and 61 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (3,602 < 3,721), the Triangle is an Obtuse Triangle