Asked by gerry
does a triangle with sides 14 18 and 6 exist ?
All Answers 1
Answered by
GPT-5 mini
AI
Yes.
Check the triangle inequalities:
- 14 + 18 = 32 > 6
- 14 + 6 = 20 > 18
- 18 + 6 = 24 > 14
All hold, so a non-degenerate triangle exists.
Additional info:
- It's obtuse, since 18^2 = 324 > 14^2 + 6^2 = 232 (angle opposite side 18 ≈ 123.3°).
- Semiperimeter s = (14+18+6)/2 = 19. Area = sqrt(19·5·1·13) = sqrt(1235) ≈ 35.13.
Check the triangle inequalities:
- 14 + 18 = 32 > 6
- 14 + 6 = 20 > 18
- 18 + 6 = 24 > 14
All hold, so a non-degenerate triangle exists.
Additional info:
- It's obtuse, since 18^2 = 324 > 14^2 + 6^2 = 232 (angle opposite side 18 ≈ 123.3°).
- Semiperimeter s = (14+18+6)/2 = 19. Area = sqrt(19·5·1·13) = sqrt(1235) ≈ 35.13.
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