Given Side Lengths: 15, 18, 10
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 10, b = 15, c = 18 (c cannot be less than a or b)
a2 + b2 = (10)2 + (15)2
a2 + b2 = 100 + 225 = 325
c2 = (18)2 = 324
a2 + b2 ≠ c2 (325 ≠ 324)
Therefore, a Triangle with side lengths of 10, 15 and 18 is NOT a Right Triangle
Note: Since a2 + b2 > c2 (325 > 324), the Triangle is an Acute Triangle
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 10, b = 15, c = 18 (c cannot be less than a or b)
a2 + b2 = (10)2 + (15)2
a2 + b2 = 100 + 225 = 325
c2 = (18)2 = 324
a2 + b2 ≠ c2 (325 ≠ 324)
Therefore, a Triangle with side lengths of 10, 15 and 18 is NOT a Right Triangle
Note: Since a2 + b2 > c2 (325 > 324), the Triangle is an Acute Triangle
