# Which of the following three lengths could not create a triangle?

# A) 2, 3, 4 B) 3.5, 33.5, 66.5 C) 22, 2, 44 D) 1, 10, 100

We can make the decision in accordance with the triangle inequality theorem.

## Answer: Option A is the only option where the triangle inequality theorem holds true.

"Can any three lengths make up the triangle?" The answer to the above query is decided on the basis of the triangle inequality theorem.

**Explanation:**

Triangle Inequality Theorem: It states that the sum of the sides of any two sides of the triangle should be greater than the length of the third side.

Given, Option A) 2, 3, 4

Option B) 3.5, 33.5, 66.5 - sum of 3.5 and 33.5 is less than 66.5

Option C) 22, 2, 44 - sum of 2 and 22 is less than 44.

Option D) 1, 10, 100 - sum of 1 and 10 is less than 100.