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

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WiredBest ResponseYou've already chosen the best response.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
 one year ago

WiredBest ResponseYou've already chosen the best response.2
If they were less than or equal to the third side, you wouldn't have a triangle.
 one year ago

eyust707Best ResponseYou've already chosen the best response.0
dw:1341624363071:dw
 one year ago

eyust707Best ResponseYou've already chosen the best response.0
i dont think 13 will work
 one year ago

eyust707Best ResponseYou've already chosen the best response.0
We could make them all the way flat but they still wouldnt be 13
 one year ago

dariyanaBest ResponseYou've already chosen the best response.0
when you add the two they equal 12
 one year ago

eyust707Best ResponseYou've already chosen the best response.0
Yes so it cant be 12 either
 one year ago

eyust707Best ResponseYou've already chosen the best response.0
other wise they would be flat on top of each other
 one year ago

WiredBest ResponseYou've already chosen the best response.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.
 one year ago

eyust707Best ResponseYou've already chosen the best response.0
12 doesnt work: dw:1341624504291:dw
 one year ago

eyust707Best ResponseYou've already chosen the best response.0
YEP! its 5 Cause 2 is too small dw:1341624584353:dw
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.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?
 one year ago

CalcmathleteBest ResponseYou've already chosen the best response.0
You're welcome :)
 one year ago
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