Answer:
Distance between nina's house to her friend's home = AC = 5 miles
Step-by-step explanation:
Distance between nina's house to her school = BC = 4 miles
Distance between nina's school to her friend's home = BA = 3 miles
Distance between nina's house to her friend's home = AC = ??
From the ΔABC
[tex]AC^{2} = AB^{2} + BC^{2}[/tex]
[tex]AC^{2} = 3^{2} + 4^{2}[/tex]
[tex]AC^{2} =25[/tex]
AC = 5 miles
Therefore Distance between nina's house to her friend's home = AC = 5 miles
