Answer: The Answer is the perimeter of the triangle is (6x + 5)
Step-by-step explanation: To find the perimeter of a triangle, we add up the lengths of its three sides. Let’s calculate the perimeter for the given triangle with side lengths:
Side 1: (3x - 2)
Side 2: (2x + 1)
Side 3: (x + 6)
The perimeter ((P)) is given by:
[ P = \text{Side 1} + \text{Side 2} + \text{Side 3} ]
Let’s compute it step by step:
Side 1: [ \text{Side 1} = 3x - 2 ]
Side 2: [ \text{Side 2} = 2x + 1 ]
Side 3: [ \text{Side 3} = x + 6 ]
Now let’s add them up:
[ P = (3x - 2) + (2x + 1) + (x + 6) ]
Combining like terms:
[ P = 6x + 5 ]
Hence, the perimeter of the triangle is (6x + 5)
