dariyana
  • dariyana
A triangle has the following measurements. What is a possible length for the third side? AB = 5, BC = 7, CA = ? 2 12 5 13
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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dariyana
  • dariyana
@Wired
dariyana
  • dariyana
i think it B
lgbasallote
  • lgbasallote
*greater

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More answers

anonymous
  • anonymous
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
anonymous
  • anonymous
If they were less than or equal to the third side, you wouldn't have a triangle.
dariyana
  • dariyana
so it would be 13
eyust707
  • eyust707
|dw:1341624363071:dw|
eyust707
  • eyust707
i dont think 13 will work
eyust707
  • eyust707
We could make them all the way flat but they still wouldnt be 13
dariyana
  • dariyana
when you add the two they equal 12
eyust707
  • eyust707
Yes so it cant be 12 either
eyust707
  • eyust707
other wise they would be flat on top of each other
anonymous
  • anonymous
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.
eyust707
  • eyust707
12 doesnt work: |dw:1341624504291:dw|
dariyana
  • dariyana
lol so it 5
eyust707
  • eyust707
YEP! its 5 Cause 2 is too small |dw:1341624584353:dw|
anonymous
  • anonymous
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?
dariyana
  • dariyana
ok thanks you guys
anonymous
  • anonymous
You're welcome :)

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