Answer:

Step-by-step explanation:
Given



Required
Calculate the perimeter of A B C
To calculate the perimeter of A B C, we sum up the sides of the triangle
i.e.

AB is given in the question already.
So, we need to calculate B F and F C
To solve for BF, we consider triangle B F C
Using Pythagoras Theorem, we have:

Substitute values for BF and FC;





Next, we calculate A C.
To calculate A C, we need to calculate A F, considering triangle B F A
Using Pythagoras Theorem, we have:

Substitute values for B F and A B;






Since F lies on line A C:



Recall that:



<em>Hence, the perimeter is 38.6</em>