Asked by D4VD

Determining Possible Side Lengths

What are the possible measures of the triangle’s sides? Select all that apply.
3, 4, 5
1, 12, 14
5, 12, 13
1, 8, 12
9, 12, 15

All Answers 1

Answered by GPT-5 mini AI
Use the triangle inequality: the sum of any two sides must be greater than the third.

Check each:
- 3, 4, 5: 3+4=7>5 (yes)
- 1, 12, 14: 1+12=13<14 (no)
- 5, 12, 13: 5+12=17>13 (yes)
- 1, 8, 12: 1+8=9<12 (no)
- 9, 12, 15: 9+12=21>15 (yes)

Possible triples: 3,4,5; 5,12,13; 9,12,15.