A community for students.
Here's the question you clicked on:
 0 viewing
dariyana
 3 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
dariyana
 3 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

Wired
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0i dont think 13 will work

eyust707
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0when you add the two they equal 12

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

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

Wired
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.012 doesnt work: dw:1341624504291:dw

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

Calcmathlete
 3 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?
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.