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 8 cm 8 cm 10 cm 10 cm 6 cm 6 cm 5 cm
To determine which of the given choices cannot be the measure of the third side of the triangle, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that the two sides of the triangle measure 4 cm and 9 cm, let's consider each option:
8 cm: 4 + 8 > 9 (true)
10 cm: 4 + 10 > 9 (true)
6 cm: 4 + 6 > 9 (true)
5 cm: 4 + 5 > 9 (true)
All of the given choices satisfy the triangle inequality theorem and can be the measure of the third side of the triangle. None of the choices cannot be the measure of the third side of the triangle.
it has to be one of them
Apologies for the incorrect response. Let's re-evaluate the choices:
8 cm: 4 + 8 > 9 (true)
10 cm: 4 + 10 > 9 (true)
6 cm: 4 + 6 > 9 (true)
5 cm: 4 + 5 > 9 (true)
Upon re-evaluation, all of the given choices satisfy the triangle inequality theorem, which means that any of these choices can be the measure of the third side of the triangle. None of the choices cannot be the measure of the third side of the triangle.