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 $\boxed{\text{(none)}}$.
Two sides of a triangle measure 4 cm and 9 cm. Determine which of the following choices cannot be the measure of the third side.
A) 6 cm
B) 8 cm
C) 10 cm
D) 5 cm
3 answers
answer?
Apologies for the confusion. The answer is D) 5 cm.
Since the sum of the lengths of the two given sides is 13, which is greater than 5, the side cannot be 5 cm as it does not satisfy the triangle inequality.
Since the sum of the lengths of the two given sides is 13, which is greater than 5, the side cannot be 5 cm as it does not satisfy the triangle inequality.
2 answers