Which of the following possibilities will form a triangle

C. Side = 17cm, 12 cm, 7 cm

Step-by-step explanation:

This question is based on the Triangle Inequality Theorem. This states that the sum of the 2 smaller sides will always be greater than the third. One important thing to note is that the sum cannot be equal to the third side, it must be greater than. We can tell that the third answer, as listed above, is correct because 12+7=19. Since 19 is greater than 17, these sides lengths will create a triangle.

As mentioned early, the 2nd answer cannot be correct because 9+7=16. Since 16=16, these lengths cannot create a triangle.

3

step-by-step explanation: