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 5 in., 5 in., and 2 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

No, according to the Triangle Inequality Theorem

No, according to the Triangle Sum Theorem

Yes, according to the Triangle Sum Theorem

Answer 1

Jeremiah will not be able to create a triangular component with these toothpicks without modifying any of the lengths according to the Triangle Inequality Theorem.

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

In the question given, the sum of any two lengths is not equal to the third length.

5 inches + 5 inches ≠ 2 inches

2 inches + 5 inches ≠ 5 inches

The Triangle Sum Theorem states that the sum of angles in a triangle should equal 180 degrees.

A similar question was answered here: https://brainly.com/question/1163433?referrer=searchResults

Answer 2

Answer:

The answer is No, according to the Triangle Inequality Theorem

Step-by-step explanation: