Question

Determine whether the following side lengths could form a triangle. Show all of the work and explain in order.

1 yd, 2 yd, 4 yd

Try using the RACE Model to answer the question:

Restate the question. Turn the question into a statement.
Answer the question. Answer all the parts. Show all your work. Draw a picture.
Check your answer. Inverse operations. Show all your work.
Explain your reasoning. Use transitional phrases.

Answer 1

No, they couldn't.

Explanation:

The rule for triangle side lengths is that any two lengths added up must equal more than the last one. for it to be able to form a triangle.

Ex: 1 + 2 is not greater than four, so it isn't a triangle.

With the numbers 4, 5, and 6 however, 4 + 5 is greater than 6, 6 + 5 is greater than 4, and 4 + 6 is greater than 5. That triangle would work.