To determine which of the choices cannot be the measure of the third side, we will use the triangle inequality theorem. According to the theorem, for any triangle with side lengths of a, b, and c, the sum of the lengths of any two sides must be greater than the length of the remaining side.
In this case, let's consider the two sides of the triangle with measures 4 cm and 9 cm. Let's go through each of the given choices and check if they satisfy the triangle inequality theorem:
- 5 cm: 4 + 5 > 9, satisfies the theorem.
- 6 cm: 4 + 6 > 9, satisfies the theorem.
- 10 cm: 4 + 10 > 9, satisfies the theorem.
- 8 cm: 4 + 8 > 9, satisfies the theorem.
Therefore, the length of 10 cm cannot be the measure of the third side of the triangle.
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 6 cm 6 cm 10 cm 10 cm 8 cm
1 answer