Answer:
The answer to your question is 10.7 units
Step-by-step explanation:
To solve this problem, just calculate the distance from the House to the Library, then the distance from the Library to the Post office and finally to the Post office to the house.
dHL = [tex]\sqrt{(-2 + 3)^{2} + (-2 - 2)^{2}}[/tex]
dHL = [tex]\sqrt{(1)^{2}+ (-4)^{2}}[/tex]
dHL = [tex]\sqrt{17}[/tex] = 4.1
dLP = [tex]\sqrt{(-2 -2)^{2} + (-2-2)^{2}}[/tex]
dLP = [tex]\sqrt{(-4)^{2} + (-4)^{2}}[/tex]
dLP = [tex]\sqrt{32}[/tex] = 5.7
dPH = [tex]\sqrt{(2 + 3)^{2}+ (2 - 2)^{2}}[/tex]
dPH = [tex]\sqrt{(5)^{2}+ (0)^{2}}[/tex]
dPH = [tex]\sqrt{25}[/tex]
dPH = 5
Minimum distance = 4.1 + 5.7 + 5
Minimum distance = 10.7
