Two sides of a triangle have lengths 9 and 15. what must be true about the length of the third side? less than 6 less than 15 less than 9 less than 24

D. 6<x<24.

Step-by-step explanation:

Let x be the length of third side of our triangle.

We have been given that two sides of a triangle have lengths 9 and 15.

To find the possible length for 3rd side of our triangle we will use triangle inequality theorem.

Triangle inequality theorem states that the sum of the lengths of any two sides of a triangle should be greater than the length of the third side.

Using triangle inequality theorem we will get:

Therefore, the third side of triangle must be greater than 6 and less than 24 and option D is the correct choice.