The perimeter of the triangle ABC is 40 cm, ab = 14 cm, BC = (8 + 3x), AC = (15-2 / 3x). Find the value of X and judge what triangle ABC is?

The perimeter of the triangle ABC is 40 cm, ab = 14 cm, BC = (8 + 3x), AC = (15-2 / 3x). Find the value of X and judge what triangle ABC is?

14+8+3x+15-2/3x=40
x=9/7
The length of three sides is 14,83 / 7 ≈ 12,99 / 7 ≈ 14
Triangle ABC is an acute triangle