The sum of the lengths of any two sides of a triangle must always be greater than the length of the third side.
In this case, the two given sides measure 4 cm and 9 cm.
We can determine whether each of the given choices can be the measure of the third side by adding each of them to the length of the shorter side (4 cm) and comparing the total to the length of the longer side (9 cm).
Adding 5 cm to 4 cm gives us 9 cm, which is equal to the longer side of 9 cm. So, 5 cm can be the measure of the third side.
Adding 8 cm to 4 cm gives us 12 cm, which is greater than the longer side of 9 cm. So, 8 cm can be the measure of the third side.
Adding 10 cm to 4 cm gives us 14 cm, which is greater than the longer side of 9 cm. So, 10 cm can be the measure of the third side.
Adding 6 cm to 4 cm gives us 10 cm, which is equal to the longer side of 9 cm. So, 6 cm can be the measure of the third side.
Therefore, the third side cannot measure 8 cm.
Therefore, the correct answer is 8 cm.
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.(1 point) Responses 5 cm 5 cm 8 cm 8 cm 10 cm 10 cm 6 cm
1 answer