Question

A triangle has two sides that have lengths of 8 cm and 14 cm. which length could not represent the length of the third side?question 2 options:18 cm7 cm15 cm22 cm

Answer 1

The third should be bigger than the difference 14 - 8 = 6 bigger then 6

and smaller than the sum bigger then 22 (2side on the same line, in opposite direction),

7,15,18cm can be the 3rd side.

Answer 2

Basically, in order for a triangle with sides ABC to be an actual triangle:

A + B > C
A + C > B
B + C > A

So therefore, the only choice that doesn't work with 8, and 14, is 22 cm.

This is because:

14 + 8 > 22

22 > 22

which doesn't work.

All the other ones, like

22 > 18

22 > 7

22 > 15

All work. If you try it with the other things, they work too.