A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 10, b = 14, c = 17.43559 (c cannot be less than a or b)
a2 + b2 = (10)2 + (14)2
a2 + b2 = 100 + 196 = 296
c2 = (17.43559)2 = 303.9997986481
a2 + b2 ≠ c2 (296 ≠ 303.9997986481)
Therefore, a Triangle with side lengths of 10, 14 and 17.43559 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (296 < 303.9997986481), the Triangle is an Obtuse Triangle
From the given side lengths, let a = 10, b = 14, c = 17.43559 (c cannot be less than a or b)
a2 + b2 = (10)2 + (14)2
a2 + b2 = 100 + 196 = 296
c2 = (17.43559)2 = 303.9997986481
a2 + b2 ≠ c2 (296 ≠ 303.9997986481)
Therefore, a Triangle with side lengths of 10, 14 and 17.43559 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (296 < 303.9997986481), the Triangle is an Obtuse Triangle
