Given Side Lengths: 14, 10, 18
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 = 18 (c cannot be less than a or b)
a2 + b2 = (10)2 + (14)2
a2 + b2 = 100 + 196 = 296
c2 = (18)2 = 324
a2 + b2 ≠ c2 (296 ≠ 324)
Therefore, a Triangle with side lengths of 10, 14 and 18 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (296 < 324), the Triangle is an Obtuse Triangle
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 = 18 (c cannot be less than a or b)
a2 + b2 = (10)2 + (14)2
a2 + b2 = 100 + 196 = 296
c2 = (18)2 = 324
a2 + b2 ≠ c2 (296 ≠ 324)
Therefore, a Triangle with side lengths of 10, 14 and 18 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (296 < 324), the Triangle is an Obtuse Triangle
