Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

dariyana

  • 2 years ago

A triangle has the following measurements. What is a possible length for the third side? AB = 5, BC = 7, CA = ? 2 12 5 13

  • This Question is Closed
  1. dariyana
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Wired

  2. dariyana
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think it B

  3. lgbasallote
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    *greater

  4. Wired
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Thanks @lgbasallote , brain fart :) Any two sides when added have to be greater than the third side. Therefore, AB + BC > CA If it was B then AB + AC = CA

  5. Wired
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    If they were less than or equal to the third side, you wouldn't have a triangle.

  6. dariyana
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so it would be 13

  7. eyust707
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1341624363071:dw|

  8. eyust707
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont think 13 will work

  9. eyust707
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    We could make them all the way flat but they still wouldnt be 13

  10. dariyana
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when you add the two they equal 12

  11. eyust707
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes so it cant be 12 either

  12. eyust707
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    other wise they would be flat on top of each other

  13. Wired
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    No. AB + BC > CA 7 + 5 > CA 12 > CA Possible equations: 12 > 2 12 > 5 12 > 12 12 > 13 It's not 12 or 13, because 12 isn't greater than itself, and 12 isn't greater than a large number. Now, since CA = 2 or 5: AB < BC + CA (again, two sides added up are greater than the third) 7 < 5 + 2 7 < 7 7 < 5 + 5 7 < 10 7 can't be less than itself. 7 is less than 10, so you know 5 is the answer.

  14. eyust707
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    12 doesnt work: |dw:1341624504291:dw|

  15. dariyana
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lol so it 5

  16. eyust707
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    YEP! its 5 Cause 2 is too small |dw:1341624584353:dw|

  17. Calcmathlete
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Here. x < 5 + 7 x + 5 > 7 x < 12 x > 2 Therefore, you know that the set of numbers possible are \(2 < x < 12\). Which of those numbers is within that range?

  18. dariyana
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thanks you guys

  19. Calcmathlete
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You're welcome :)

  20. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.