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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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    @Directrix

  2. anonymous
    • one year ago
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    C

  3. Directrix
    • one year ago
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    @johnnyy999 Why C and not some other option? Please explain how you chose C as the answer.

  4. anonymous
    • one year ago
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    @Directrix :)

  5. anonymous
    • one year ago
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    @Directrix

  6. Directrix
    • one year ago
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    According to the triangle inequality theorem, one side of a triangle must be less than the sum of the other two.

  7. Directrix
    • one year ago
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    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

  8. Directrix
    • one year ago
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    Side = 16 cm, side = 9 cm, side = 7 cm Is 16 < 9 + 7 ? @geny55

  9. Directrix
    • one year ago
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    16 < 16 No, so option B is out

  10. Directrix
    • one year ago
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    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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