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

so do you know these theorems from these choices ?

Answer 2

major hint: in order for a triangle to be made from there sides, any two sides must add up to be greater than the last side

apply this to your problem to see if the triangle can be made. then identify the correct theorem.