Question 1191322

Survival in the WILDERNESS


Each cell of the 10*10 map is equivalent to {{{0.5km}}}.
You need to avoid the cells showing dangers (like bandits, wild animals, etc). Your route must not touch those places.
The blue thick line at the center of the map is a river. It is deep and the current is turbulent so swimming across it is out of the question. 
So the only way is to cross any of the bridges. The shorter route, the better!


<a href="https://ibb.co/92LX50b"><img src="https://i.ibb.co/92LX50b/Capture2-25-2022-3-47-21-PM.jpg" alt="Capture2-25-2022-3-47-21-PM" border="0"></a>


from two right triangles with legs

{{{a=6*0.5km=3km}}}  (from “you” left under middle “bridge”)
{{{b=5.5*0.5km=2.75km}}}  ({{{5.5}}} units up to middle “bridge”)
then hypothenuse is
{{{c=sqrt(3^2+2.75^2)=4.1km}}}-> distance from “you” to “bridge”

and, second right triangle is
 
 go {{{3 }}}units up->{{{a=3km}}} and {{{3}}} units left ->{{{b=3km}}}

{{{c=sqrt(3^2+3^2)=4.2km}}} -> distance from the “bridge” to “safe place”


since diagonals are the shorter route, add both distances:{{{ 4.1km+4.2km=8.3km}}}