Respuesta :
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.
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.
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.
and smaller than the sum bigger then 22 (2side on the same line, in opposite direction),
7,15,18cm can be the 3rd side.