Given Side Lengths: 20, 11, 20
A Right Triangle must satisfy the Converse of the Pythagorean Theorem: a2 + b2 = c2
From the given side lengths, let a = 11, b = 20, c = 20 (c cannot be less than a or b)
a2 + b2 = (11)2 + (20)2
a2 + b2 = 121 + 400 = 521
c2 = (20)2 = 400
a2 + b2 ≠ c2 (521 ≠ 400)
Therefore, a Triangle with side lengths of 11, 20 and 20 is NOT a Right Triangle
Note: Since a2 + b2 > c2 (521 > 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 = 20, c = 20 (c cannot be less than a or b)
a2 + b2 = (11)2 + (20)2
a2 + b2 = 121 + 400 = 521
c2 = (20)2 = 400
a2 + b2 ≠ c2 (521 ≠ 400)
Therefore, a Triangle with side lengths of 11, 20 and 20 is NOT a Right Triangle
Note: Since a2 + b2 > c2 (521 > 400), the Triangle is an Acute Triangle