Question

Is it possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm? Why or why not?

Answer 1

Triangle inequality rule:
The sum of each two lengths must be greater than the third length.

6 + 13 ?>? 11. YES
13 + 11 ?>? 6. YES
6 + 11 ?>? 13. YES
**Shortcut**
If you add the two SMALLEST lengths and they are larger than the third length, the other pairs will work.