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) please
To determine which of the following choices cannot be the measure of the third side, we need to use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's list the choices:
A) 6 cm
B) 9 cm
C) 13 cm
D) 15 cm
Since the two given sides measure 4 cm and 9 cm, let's calculate the sum of each choice with the given sides:
A) 4 cm + 6 cm = 10 cm
B) 4 cm + 9 cm = 13 cm
C) 4 cm + 13 cm = 17 cm
D) 4 cm + 15 cm = 19 cm
According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the choice that cannot be the measure of the third side is:
D) 15 cm