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K-K-K-Kiaa

A triangle has the following measurements. What is a possible length for the third side? AB = 4, BC = 17, CA = ? 18 5 10 12

  • one year ago
  • one year ago

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  1. gjhfdfg
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    Is this all of the question?

    • one year ago
  2. K-K-K-Kiaa
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    yup. i'm so lost because i thought triangles are suppose to equal 180.

    • one year ago
  3. gjhfdfg
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    I'm thinking its 18... Its been forver since i've done this... 4+17 = 21 4-17 = 13 & the number has to be between 13 & 21 if im thinking right... & 18 is the only up there. does it let you know if its right or wrong?

    • one year ago
  4. K-K-K-Kiaa
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    i have to submit it first.

    • one year ago
  5. K-K-K-Kiaa
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    it was right. thanks!

    • one year ago
  6. Directrix
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    >yup. i'm so lost because i thought triangles are suppose to equal 180. 180 is the sum of the three interior angles of the triangle. This problem deals with segments.

    • one year ago
  7. Directrix
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    Use the Triangle Inequality Theorem: One side of a triangle is less than the other two but greater than the positive differeence of the other two.

    • one year ago
  8. Directrix
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    So, (17 - 4) < CA < (4 + 17) 13 < CA < 21 @K-K-K-Kiaa

    • one year ago
  9. K-K-K-Kiaa
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    Yea I figured it out. but thanks.

    • one year ago
  10. Directrix
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    I saw that you had figured out this problem but wanted to provide the theorem so that you will be empowered to do similar problems. Just saying.

    • one year ago
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