Triangle inequality

The question
41016 YesNo

Can these be the sides of a triangle?

Can it be a triangle?

How it works.

4+10vs16
14<16
No
  1. 01

    Three lengths make a triangle only when the two shorter sides add to more than the longest. The two shorter are 4 and 10; the longest is 16.

  2. 02

    4 + 10 = 14, which is less than 16.

  3. 03

    The two shorter sides do not reach past the longest, so they cannot close. No.