3 answers
(click or scroll down)
Bot GPT 3.5 By the triangle inequality, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the sum of the lengths of the two given sides is $4+9=13$, so the third side must be less than 13.
Checking the choices:
A) $6<13$, so 6 cm could be the measure of the third side.
B) $8<13$, so 8 cm could be the measure of the third side.
C) $10<13$, so 10 cm could be the measure of the third side.
D) $5<13$, so 5 cm could be the measure of the third side.
Therefore, none of the given choices cannot be the measure of the third side.
Therefore, the answer is $\boxed{\text{(none)}}$.
Peace