Question

Giving the 2 sides of the triangle, find the range of all possible lengths for the third side.

example: 12,18 6<x<30

9,7,
11,8,
16,2,
6,10,
17,30
5,5,
3,4,

thank you!!​

Answer 1

1. 2 < x < 16
2. 3 < x < 19
3. 14 < x < 18
4. 4 < x < 16
5. 13 < x < 47
6. 0 < x < 10
7. 1 < x < 7

Explanation:

The minimum third side is the difference of the given sides; the maximum third side is their sum.

If you like, you can have a spreadsheet calculate these for you. That seems like more work than just doing them in your head.