The perimeter of the triangle below is 75 m. Determine the measure of each side of the triangle

Step-by-step explanation:

The perimeter is the sum of all sides.

AB+AC+CB=75

(2x-9) + (2x+3) + (3x+4) = 75

Combine like terms:

(2x+2x+3x) + (-9+3+4) = 75

7x - 2 = 75

7x = 77

x=11

Replace 'x' with '11' in the above equations to find that:

AB = 2(11) - 9 = 22 - 9 = 13 m

AC = 2(11) + 3 = 22 + 3 = 25 m

CB = 3(11) + 4 = 33 + 4 = 37 m

13 + 25 + 37 = 75 m