Respuesta :

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

Sum the sides and equate to 54, that is

3x + 4x + 5x = 54, that is

12x = 54 ( divide both sides by 12 )

x = 4.5

Thus

AB = 3x = 3 × 4.5 = 13.5 in

BC = 4x = 4 × 4.5 = 18 in

AC = 5x = 5 × 4.5 = 22.5 in