Question

The three sides of a triangle measure 9, 20, and n. What is the range of possible lengths of n?

9 < n < 20
6 < n < 29
11 < n < 29
11 < n < 20

Answer 1

11 < n < 29

Explanation:

The smallest the third side can be is just bigger than the difference of the other two sides

20-9 < n

11<n

The largest the third side can be is just smaller than the sum of the other two sides

20+9 > n

29 >n

Putting this together

11<n<29