Given Side Lengths: 24, 143, 145
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 24, b = 143, c = 145 (c cannot be less than a or b)
a2 + b2 = (24)2 + (143)2
a2 + b2 = 576 + 20,449 = 21,025
c2 = (145)2 = 21,025
a2 + b2 = c2 (21,025 = 21,025)
Therefore, a Triangle with side lengths of 24, 143 and 145 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(24, 143, 145) = 1, they are a primitive Pythagorean Triple
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 24, b = 143, c = 145 (c cannot be less than a or b)
a2 + b2 = (24)2 + (143)2
a2 + b2 = 576 + 20,449 = 21,025
c2 = (145)2 = 21,025
a2 + b2 = c2 (21,025 = 21,025)
Therefore, a Triangle with side lengths of 24, 143 and 145 is a Right Triangle
Note: Since the side lengths are positive integers and the GCF(24, 143, 145) = 1, they are a primitive Pythagorean Triple