Given Side Lengths: 35, 84, 92
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 35, b = 84, c = 92 (c cannot be less than a or b)
a2 + b2 = (35)2 + (84)2
a2 + b2 = 1,225 + 7,056 = 8,281
c2 = (92)2 = 8,464
a2 + b2 ≠ c2 (8,281 ≠ 8,464)
Therefore, a Triangle with side lengths of 35, 84 and 92 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (8,281 < 8,464), 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 = 35, b = 84, c = 92 (c cannot be less than a or b)
a2 + b2 = (35)2 + (84)2
a2 + b2 = 1,225 + 7,056 = 8,281
c2 = (92)2 = 8,464
a2 + b2 ≠ c2 (8,281 ≠ 8,464)
Therefore, a Triangle with side lengths of 35, 84 and 92 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (8,281 < 8,464), the Triangle is an Obtuse Triangle
