A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
if you have a triangle, and one side is 3 inch, other is 4. what is the largest and smallest possible lengths for the 3rd side?
anonymous
 3 years ago
if you have a triangle, and one side is 3 inch, other is 4. what is the largest and smallest possible lengths for the 3rd side?

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Well you know the 3rd side cannot be larger than 3 + 4 from the triangle inequality s < 3 + 4 s < 7 So 7 is an upper bound. The length can be as close to 7 as you desire but it cannot be 7. As for the smallest length, consider what happens as the third side gets smaller and smaller. It would appear that s approaches 4  3 = 1. In fact, when you overlap the two sides, that leaves a distance of 1. This 1 serves as our lower bound. I.e., the third length can approach 1 but never reach it.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I should also state that the 3rd side cannot be equal to 3 + 4 either***

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so the largest is 7 and smalled is 1? i also have to do 2in and 3in. so that would be 5 and1?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0They are boundary points. The third side can be 6.9999999999999999, so long as it is less than 7. There is no 'maximum' length as you can always pick a side closer and closer to 7. 7 is a limit that the side can never reach.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Unless you consider a triangle with two sides overlapping, but then it wouldn't be a triangle anymore.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ok, dude, you are awesome :) so you get a medal and a fan :) congratz, lol

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0For similar reasons, the boundaries for the other triangle would be a lower limit of 1 and an upper limit of 5. But these limits can never be reached.
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.