To determine which choice cannot be the measure of the third side, we can use the triangle inequality theorem. According to this theorem, for a triangle with sides measuring a, b, and c, the following inequality holds: a + b > c.
In this case, the given sides of the triangle measure 4 cm and 9 cm. Let's test each choice to see if it satisfies the triangle inequality theorem:
A) 7 cm: 4 cm + 7 cm = 11 cm > 9 cm (satisfied)
B) 13 cm: 4 cm + 13 cm = 17 cm > 9 cm (satisfied)
C) 5 cm: 4 cm + 5 cm = 9 cm (not satisfied)
D) 12 cm: 4 cm + 12 cm = 16 cm > 9 cm (satisfied)
Therefore, the measure of the third side cannot be 5 cm (choice C).
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)
1 answer