Given Side Lengths: 16, 21, 28
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 16, b = 21, c = 28 (c cannot be less than a or b)
a2 + b2 = (16)2 + (21)2
a2 + b2 = 256 + 441 = 697
c2 = (28)2 = 784
a2 + b2 ≠ c2 (697 ≠ 784)
Therefore, a Triangle with side lengths of 16, 21 and 28 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (697 < 784), 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 = 16, b = 21, c = 28 (c cannot be less than a or b)
a2 + b2 = (16)2 + (21)2
a2 + b2 = 256 + 441 = 697
c2 = (28)2 = 784
a2 + b2 ≠ c2 (697 ≠ 784)
Therefore, a Triangle with side lengths of 16, 21 and 28 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (697 < 784), the Triangle is an Obtuse Triangle
