A math problem, please help me ~ ~

Make the symmetry point of m about AC, and record it as the second m.

Connect the second m, n

Then the intersection with AC is p, and PM+PN is the smallest, =4.

Because the line segments about the symmetry axis are equal, in the m degree MN of the triangle, the second MP=NP.

So MP=NP=2

Because triangle BMN is equal to triangle PMN.

So BN=BM=2, AB=BC=4.

According to the base angle =30 degrees, PC=2*√3, so AC=4*√3.

So what is the photography theorem of perimeter =8+4*√3? It slipped my mind. . You can leave a message and let me know, and I'll do it for you.