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)
The triangle inequality 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 x be the measure of the third side. Then the sum of the lengths of the two given sides is 4 + 9 = 13 cm.
If x is less than or equal to 13 cm, it could potentially be the measure of the third side. Therefore, any choice greater than 13 cm cannot be the measure of the third side.
Therefore, the following choice cannot be the measure of the third side:
- 15 cm