Is it possible for a triangle to have sides with the following lengths: 5, 9, 15?

no

no, the sum of any pair of sides must be greater than the third side

is 5+9 > 15 ?

Could you please explain why the answer is no?

Did you not read my reply?

I saw it after I typed in my response to avery. Thank you very much :)

Hi, I need some help with SIN COS TAN

To determine if a triangle with side lengths 5, 9, and 15 is possible, we need to apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's check if this condition is met:

1. 5 + 9 = 14 (sum of the two shorter sides)
14 < 15

Since the sum of the two shorter sides (5 and 9) is less than the length of the longest side (15), the triangle inequality theorem is not satisfied. Therefore, it is not possible for a triangle to have side lengths of 5, 9, and 15.