Given Side Lengths: 20, 11, 17
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 11, b = 17, c = 20 (c cannot be less than a or b)
a2 + b2 = (11)2 + (17)2
a2 + b2 = 121 + 289 = 410
c2 = (20)2 = 400
a2 + b2 ≠ c2 (410 ≠ 400)
Therefore, a Triangle with side lengths of 11, 17 and 20 is NOT a Right Triangle
Note: Since a2 + b2 > c2 (410 > 400), 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 = 11, b = 17, c = 20 (c cannot be less than a or b)
a2 + b2 = (11)2 + (17)2
a2 + b2 = 121 + 289 = 410
c2 = (20)2 = 400
a2 + b2 ≠ c2 (410 ≠ 400)
Therefore, a Triangle with side lengths of 11, 17 and 20 is NOT a Right Triangle
Note: Since a2 + b2 > c2 (410 > 400), the Triangle is an Acute Triangle
