First, determine the side length of the triangle.

AB*AC=b^2=9

So b=3.

By area =ab=6

So a=2

Now you can set up a coordinate system.

The other point c is the origin.

AC and BC are x-axis and y-axis respectively.

The coordinate of the other point P is (x, y).

The restriction is: (because P is in the triangle)

0《x》2

0《y》3

And 2x+3y-6 "0.

Distance L=x+y+(6-x-y)/ root (13) (the last term is the distance formula).

Then do a linear programming.

Important skills: important, important, important.

Because distance is a linear function

You can also directly substitute the coordinate values of each endpoint for operation.

6/ The minimum value under the root symbol should be 13.

The maximum value is 3.

Take a closer look, I hope it will be useful to you.