Question

I need help with a project about inequalities in triangles asap!

Answer 1

My straw lengths are 7" and 6" for the first with 5" and 9" as possible lengths for a third side and the straw lengths for the second are 4" and 5" with 3" and 4" as possible lengths for a third side.

The part that I really need help with however is the impossible lengths for the third side. I have 13" for the first and 9" for the second but I need two answers.

Answer 2

ahemm.... how did you arrive to 13 and 9 for the 2 sets?

13" as not-working side the 7" and 6"

9" as not-working side for the 4" and 5"

how did you get 13 and 9?

Answer 3

To be honest I can't even remember. This is work I did a few days ago.

Answer 4

so do you think they're ok? maybe they're not?

Answer 5

I think they're okay because it doesn't seem like it would. It would just stretch the triangle into an almost straight line.

Answer 6

http://www.mathsisfun.com/geometry/triangles-interactive.html <--- stretch those legs to say, make it resemble 7 and 6

how small would the 3rd side be?
how big would it get?

Answer 7

if you stretch it about, with whatever legs length
you'll notice that you can stretch the 3rd side, as far as the other 2 legs, almost

I say almost because if it stretches to the SUM of the other 2 legs, then it becomes a flat-line, not a triangle

Answer 8

if you shrink the 3rd side, you'll notice it can really shrink to 0, almost

I say almost because, if the 3rd side is 0, then you'd end up with a flat-line again, and losing the triangle

Answer 9

so one can say that, the 3rd side can be
as SMALL as ALMOST 0,
as BIG as ALMOST THE SUM of the other 2 legs

Answer 10

say if we had 2 legs say, "a" and "b", the the 3rd side, say "c" will have to be

\(\large\bf 0< c < a+b\)

Answer 11

Oh okay I think I get it.

Answer 12

Thanks!