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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?
 one year ago
 one year 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?
 one year ago
 one year ago

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LogicalAppleBest ResponseYou've already chosen the best response.2
Well 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.
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.2
I should also state that the 3rd side cannot be equal to 3 + 4 either***
 one year ago

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

LogicalAppleBest ResponseYou've already chosen the best response.2
They 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.
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.2
Unless you consider a triangle with two sides overlapping, but then it wouldn't be a triangle anymore.
 one year ago

TheForbiddenFollowerBest ResponseYou've already chosen the best response.0
ok, dude, you are awesome :) so you get a medal and a fan :) congratz, lol
 one year ago

LogicalAppleBest ResponseYou've already chosen the best response.2
For 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.
 one year ago
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