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 10 cm 10 cm 5 cm 5 cm 6 cm 6 cm 8 cm

Answer 1

Let's use the triangle inequality theorem to determine which of the choices cannot be the measure of the third side:

According to the triangle inequality theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

For a triangle with sides measuring 4 cm and 9 cm, the sum of the lengths of the two sides must be greater than the length of the third side:

4 + 9 > x

13 > x

Therefore, the third side must be less than 13 cm.

Now, let's check each of the choices:

1. 10 cm:
The third side is 10 cm. This choice satisfies the triangle inequality theorem because 4 + 9 > 10.

2. 5 cm:
The third side is 5 cm. This choice satisfies the triangle inequality theorem because 4 + 9 > 5.

3. 6 cm:
The third side is 6 cm. This choice satisfies the triangle inequality theorem because 4 + 9 > 6.

4. 8 cm:
The third side is 8 cm. This choice satisfies the triangle inequality theorem because 4 + 9 > 8.

Therefore, all of the choices provided can be the measure of the third side. None of them cannot be the measure of the third side.

Answer 2

you have to pick one

Answer 3

Based on the information provided, the choice that cannot be the measure of the third side of the triangle is:

10 cm