TWO SIDES OF A TRIANGLE HAVE THE FOLLOWING MEASURES. FIND THE RANGE OF THE POSSIBLE MEASURES FOR THE THIRD SIDE.14, 11, _____*1 point3 < x < 2525 < x < 315 < x < 256, 10, _____*1 point16 < x < 44 < x < 165 < x < 1515, 18, _____*1 point4 < x < 3033 < x < 33 < x < 3311, 20, _____*1 point9 < x < 309 < x < 319 < x < 3247, 21 _____*1 point26 < x < 6827 < x < 6826 < x < 695, 8,  _____*1 point3 < x < 143 < x < 133 < x < 126, 9,  _____*1 point3 < x < 143 < x < 153 < x < 1617, 19,  _____*1 point1 < x < 262 < x < 263 < x < 27

The measures of the third side of a triangle, given the lengths of the other two sides, can be determined using the Triangle Inequality Theorem. This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

1. For sides 14 and 11, the third side must be greater than |14-11|=3 and less than 14+11=25. So, 3 < x < 25.

2. For sides 6 and 10, the third side must be greater than |6-10|=4 and less than 6+10=16. So, 4 < x < 16.

3. For sides 15 and 18, the third side must be greater than |15-18|=3 and less than 15+18=33. So, 3 < x < 33.

4. For sides 11 and 20, the third side must be greater than |11-20|=9 and less than 11+20=31. So, 9 < x < 31.

5. For sides 47 and 21, the third side must be greater than |47-21|=26 and less than 47+21=68. So, 26 < x < 68.

6. For sides 5 and 8, the third side must be greater than |5-8|=3 and less than 5+8=13. So, 3 < x < 13.

7. For sides 6 and 9, the third side must be greater than |6-9|=3 and less than 6+9=15. So, 3 < x < 15.

8. For sides 17 and 19, the third side must be greater than |17-19|=2 and less than 17+19=36. So, 2 < x < 36.