A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 10, b = 11, c = 20 (c cannot be less than a or b)
a2 + b2 = (10)2 + (11)2
a2 + b2 = 100 + 121 = 221
c2 = (20)2 = 400
a2 + b2 ≠ c2 (221 ≠ 400)
Therefore, a Triangle with side lengths of 10, 11 and 20 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (221 < 400), the Triangle is an Obtuse Triangle
From the given side lengths, let a = 10, b = 11, c = 20 (c cannot be less than a or b)
a2 + b2 = (10)2 + (11)2
a2 + b2 = 100 + 121 = 221
c2 = (20)2 = 400
a2 + b2 ≠ c2 (221 ≠ 400)
Therefore, a Triangle with side lengths of 10, 11 and 20 is NOT a Right Triangle
Note: Since a2 + b2 < c2 (221 < 400), the Triangle is an Obtuse Triangle