Final answer:
To find the perimeter of the triangle, you need to add the lengths of its sides. Set up an equation using the given perimeter and the expression for the perimeter of the triangle. Solve the equation to find the value of x, and then substitute it back into the expressions for the sides to find their lengths.
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of its sides. In this case, the lengths of the sides are given as 3x-1, 4x, and 3x.
To find the perimeter, you need to add the lengths of the sides:
Perimeter = (3x-1) + 4x + 3x
Simplifying the expression, you have:
Perimeter = 10x - 1
Now you are given that the perimeter is 70 cm, so you can set up an equation:
10x - 1 = 70
Add 1 to both sides of the equation:
10x = 71
Divide both sides by 10:
x = 7.1
Now that you have the value of x, you can substitute it back into the expressions for the sides to find their lengths.