Question

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

Answer 1

AB = 18

AC = 18

BC = 27

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

Answer 2

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