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 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
 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

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Wired
 2 years ago
Best ResponseYou've already chosen the best response.2Thanks @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

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

eyust707
 2 years ago
Best ResponseYou've already chosen the best response.0i dont think 13 will work

eyust707
 2 years ago
Best ResponseYou've already chosen the best response.0We could make them all the way flat but they still wouldnt be 13

dariyana
 2 years ago
Best ResponseYou've already chosen the best response.0when you add the two they equal 12

eyust707
 2 years ago
Best ResponseYou've already chosen the best response.0Yes so it cant be 12 either

eyust707
 2 years ago
Best ResponseYou've already chosen the best response.0other wise they would be flat on top of each other

Wired
 2 years ago
Best ResponseYou've already chosen the best response.2No. 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
 2 years ago
Best ResponseYou've already chosen the best response.012 doesnt work: dw:1341624504291:dw

eyust707
 2 years ago
Best ResponseYou've already chosen the best response.0YEP! its 5 Cause 2 is too small dw:1341624584353:dw

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0Here. 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?
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