Two sides of a triangle have lengths 10 and 15. what must be true about the length of the third side? less than 25 / less than or equal to 25 /equal to 25/ more than 25

A. Less than 25.

Step-by-step explanation:

Let x represent 3rd side of triangle.

We have been given hat two sides of a triangle have lengths 10 and 15.

We will use triangle inequality theorem to find the 3rd side of the triangle. Triangle inequality theorem states that 3rd side of a triangle must be less than the sum of other two sides of triangle.

Using triangle inequality theorem, we can set following inequalities:

Therefore, the length of third side should be greater than 5.

Therefore, the length of third side should be less than 25 and option A is the correct choice.