anonymous
  • anonymous
Which of the following possibilities will form a triangle? Side = 16 cm, side = 8 cm, side = 7 cm Side = 16 cm, side = 9 cm, side = 7 cm Side = 17 cm, side = 12 cm, side = 7 cm Side = 17 cm, side = 11 cm, side = 5 cm
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
C
Directrix
  • Directrix
@johnnyy999 Why C and not some other option? Please explain how you chose C as the answer.

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anonymous
  • anonymous
anonymous
  • anonymous
Directrix
  • Directrix
According to the triangle inequality theorem, one side of a triangle must be less than the sum of the other two.
Directrix
  • Directrix
Testing option A: 16 cm, side = 8 cm, side = 7 cm Is 16 < 8 + 7 No --> One no means that the 3 sides are not lengths of a triangle so option A is out because 16 is not less than 15. Is 8 < 16 + 7 Yes Is 7 < 16 + 8 Yes
Directrix
  • Directrix
Side = 16 cm, side = 9 cm, side = 7 cm Is 16 < 9 + 7 ? @geny55
Directrix
  • Directrix
16 < 16 No, so option B is out
Directrix
  • Directrix
Option C: Side = 17 cm, side = 12 cm, side = 7 cm 17 < 12 + 7 ? 12 < 17 + 7 ? 7 < 17 + 12 ? @geny55

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