A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 10, b = 49.5, c = 50.5 (c cannot be less than a or b)
a2 + b2 = (10)2 + (49.5)2
a2 + b2 = 100 + 2,450.25 = 2,550.25
c2 = (50.5)2 = 2,550.25
a2 + b2 = c2 (2,550.25 = 2,550.25)
Therefore, a Triangle with side lengths of 10, 49.5 and 50.5 is a Right Triangle
From the given side lengths, let a = 10, b = 49.5, c = 50.5 (c cannot be less than a or b)
a2 + b2 = (10)2 + (49.5)2
a2 + b2 = 100 + 2,450.25 = 2,550.25
c2 = (50.5)2 = 2,550.25
a2 + b2 = c2 (2,550.25 = 2,550.25)
Therefore, a Triangle with side lengths of 10, 49.5 and 50.5 is a Right Triangle