Given Side Lengths: 35, 84, 91
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 = 91 (c cannot be less than a or b)
a2 + b2 = (35)2 + (84)2
a2 + b2 = 1,225 + 7,056 = 8,281
c2 = (91)2 = 8,281
a2 + b2 = c2 (8,281 = 8,281)
Therefore, a Triangle with side lengths of 35, 84 and 91 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
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 = 91 (c cannot be less than a or b)
a2 + b2 = (35)2 + (84)2
a2 + b2 = 1,225 + 7,056 = 8,281
c2 = (91)2 = 8,281
a2 + b2 = c2 (8,281 = 8,281)
Therefore, a Triangle with side lengths of 35, 84 and 91 is a Right Triangle
Note: Since the side lengths are positive integers, they are a Pythagorean Triple
