[Measuring lengths of segments and measures of angles. Adjacent angles.] Extreme properties (miscellaneous).

In a village, along a straight road, there are two houses $A$ and $B$ located 50 meters apart from each other.

At what point on the road should a well be dug so that the sum of the distances from the well to the houses is minimized?
Any point $X$ on the road segment between $A$ and $B$ is equally good, since the segments $A X$ and $B X$ together total 50 m. If a point is taken outside this segment, then the sum of the distances from it to points $A$ and $B$ will be greater than $50 \mathrm{M}$.

## Answer

At any point on the segment $A B$.