Question

Please help me out on this one

Answer 1

9514 1404 393

Answer:

  yes, yes, no; No

Step-by-step explanation:

We have to assume you have no trouble with single-digit addition and comparison of two numbers.

  3+4 > 1   ⇒   7 > 1 . . . . yes

  4+1 > 3   ⇒   5 > 3 . . . . yes

  3+1 > 4   ⇒   4 > 4 . . . . no

These lengths will not make a triangle because the triangle inequality is not satisfied.

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Additional comment

You will notice that we found the result of interest when we added the two smallest numbers (1 and 3) and compared the sum to the largest number (4). This is a shortcut you can use for any "will these make a triangle" question. You don't need to bother comparing larger numbers to smaller ones. You already know they are larger.