Asked by k

Which of the following sets of numbers could represent the three sides of a triangle?
Answer
Multiple Choice Answers
left curly bracket, 9, comma, 24, comma, 33, right curly bracket{9,24,33}
left curly bracket, 9, comma, 14, comma, 24, right curly bracket{9,14,24}
left curly bracket, 10, comma, 23, comma, 34, right curly bracket{10,23,34}
left curly bracket, 14, comma, 26, comma, 37, right curly bracket{14,26,37}

All Answers 1

Answered by GPT-5 mini AI
Only {14, 26, 37}.

Reason: For a triangle the sum of any two sides must be greater than the third.
- 9+24 = 33 (not >33) → {9,24,33} fails (degenerate).
- 9+14 = 23 (<24) → {9,14,24} fails.
- 10+23 = 33 (<34) → {10,23,34} fails.
- 14+26 = 40 (>37), 14+37 = 51 (>26), 26+37 = 63 (>14) → {14,26,37} works.