Question

Find the range of possible lengths for the third side of a triangle.
6 cm, 6 cm.

Answer 1

so given a triangle we know the sum of 2 sides we pick should be greater than any 3rd side

Answer 2

that is say we have sides a,b,c
then we have
a+b>c
a+c>b
b+c>a

Answer 3

so I will call your sides a=6,b=6,c=?
enter in these values and see if you can come up with a range for c

Answer 4

Well doesn't the length lie between 0 and 12? Since 6-6 = 0 and 6+6 = 12? or is that completely wrong lol

Answer 5

ex) 6-6 < L < 6+6
0< L < 12

Answer 6

what inequalities do you have?

Answer 7

I'm just right now asking you to sub into the inequalities I have already provided.

Answer 8

6+6 > C
6+C > 6
6+C > 6

Answer 9

yep you are right
6+6>c
6+c>6
6+c>6

solving the first gives 12>c solving the any of the other 2 gives us c>0

Answer 10

putting that together
gives you that c is between 0 and 12

Answer 11

gj

Answer 12

Thanks :3

Answer 13

wow
openstudy is so messed up
it is like now showing the right order or something that we posted things

Answer 14

but anyways do you understand ?