Question

Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three toothpicks of lengths 4 in., 5 in., and 1 in. Will he be able to create the triangular component with these toothpicks without modifying any of the lengths? Yes, according to the Triangle Inequality Theorem Yes, according to the Triangle Sum Theorem No, according to the Triangle Inequality Theorem No, according to the Triangle Sum Theorem

Answer 1

Answer: C

Step-by-step explanation:

The Triangle Inequality Theorem is a theorem that states that the sum of the lengths of any two sides of a triangle should be equal or greater than the length of the third side.

x + y ≥ z

4 + 5 ≥ 1

= 9 ≥ 2 (Not satisfied)

5 + 1 > ≥ 4

= 6 ≥ 4 (Not satisfied)

4 + 1 ≥ 6

= 5 ≥ 6 (Not satisfied)

Therefore the answer is C) No, according to the Triangle Inequality Theorem