Given Side Lengths: 5, 5, 7
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 5, b = 5, c = 7 (c cannot be less than a or b)
a2 + b2 = (5)2 + (5)2
a2 + b2 = 25 + 25 = 50
c2 = (7)2 = 49
a2 + b2 ≠ c2 (50 ≠ 49)
Therefore, a Triangle with side lengths of 5, 5 and 7 is NOT a Right Triangle
Note: Since a2 + b2 > c2 (50 > 49), the Triangle is an Acute Triangle
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 5, b = 5, c = 7 (c cannot be less than a or b)
a2 + b2 = (5)2 + (5)2
a2 + b2 = 25 + 25 = 50
c2 = (7)2 = 49
a2 + b2 ≠ c2 (50 ≠ 49)
Therefore, a Triangle with side lengths of 5, 5 and 7 is NOT a Right Triangle
Note: Since a2 + b2 > c2 (50 > 49), the Triangle is an Acute Triangle
