Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63. Show all your work

AB = 18

AC = 18

BC = 27

Step-by-step explanation:

Solve for x first:

6x + 4x + 6 + 8x + 3 = 63

6x + 4x + 8x + 6 + 3 = 63

18x + 9 = 63

18x = 63 - 9

18x = 54

x = 54 / 18

x = 3

Now substitute x to all sides.

AB = 6x

6 (3) = 18

AC = 4x + 6

4 (3) + 6

12 + 6 = 18

BC = 8x + 3

8 (3) + 3

24 + 3 = 27

18 + 18 + 27 = 63

63 = 63

6x + 4x+6 + 8x+3 = 63

6x+4x+8x = 63 - 3 - 6

18x = 54

x = 54/18

x = 3

Side AB = 6 (3) = 18

Side AC = 4 (3) + 6 = 18

Side BC = 8 (3) + 3 = 27