3 (x-3)

2x+5

4x-1

Diagram NOT accurately drawn

The lengths, in cm, of the sides of the triangle are 3 (x - 3), 4x - 1 and 2x + 5

(a) the perimeter of the triangle is 49cm work out the value of x

6

Step-by-step explanation:

Alright! So, this might seem complicated at first, but in the end its just a bit of algebra. If we think of a triangle, adding all of the sides together creates the perimeter. This means that 3 (x-3) + 4x-1 + 2x+5 = 49. After this we can simplify to 9x - 5 = 49, and 9x = 54. Since 54/9 = 6, this means that x = 6.