Use the triangle inequality theorem to find the possible side lengths of a triangle, math homework help

Use the triangle inequality theorem to find the possible side lengths of a triangle, math homework help

A triangle has sides of length 12cm and 6cm. What can you say about the length of the third side?

Choose the correct answer below.

A.

The side is shorter than 18cm but not necessarily longer than 6cm.

B.

The side is shorter than 12cm but not necessarily longer than 6cm,

C.

The side is longer than 6cm and shorter than12 cm.

D.

The side is longer than 6cm and shorter than 18 cm.

E.

A third side cannot be found to complete this triangle.

F.

The side is longer than 6cm but not necessarily shorter than 18cm.

G.

The side is longer than 6cm but not necessarily shorter than 12cm.

H.

No conclusion can be made about the other side.