Which of the following lengths could be the sides of a triangle?

Question

eric_d · Answer

Options..

eric_d · Answer

?

anonymous · Answer

options please

anonymous · Answer

5 cm, 17 cm, 12 cm
       13 cm, 23 cm, 10 cm
       18 cm, 7 cm, 14 cm
       22 cm, 14 cm, 5 cm

anonymous · Answer

what do you think about my choice of answer @eric_d

anonymous · Answer

soo

eric_d · Answer

What do you think @Directrix

directrix · Answer

One side of a triangle is shorter than the sum of the other two and greater than the positive difference of the other two sides. So, these options will have to be checked.

Has an answer been suggested yet? @eric_d

eric_d · Answer

Nope

directrix · Answer

The first option of 5 cm, 17 cm, 12 cm is not correct because:

17 < 5 + 12 is false.

directrix · Answer

The second option of  13 cm, 23 cm, 10 cm is false because:

23 < 13 + 10 is false.

directrix · Answer

What about this   18 cm, 7 cm, 14 cm    @Deadroc9

anonymous · Answer

hmm

anonymous · Answer

im not sure

directrix · Answer

Check the last option of  22 cm, 14 cm, 5 cm

22 < 14 + 5 is a false statement

directrix · Answer

So, which option is left to be true after the other three were shown to be false.

anonymous · Answer

so by process of elimination C is correct by default>

anonymous · Answer

It was correct! thank you guys very much

directrix · Answer

Yes, that is my conclusion.
18 cm, 7 cm, 14 cm is correct.

anonymous · Answer

I got 100% on my quiz thanks to your guys help! And I even understand it a little better!

triciaal · Answer

great! keep up the good work