Question

Nina bicycles 4 miles west to get from her house to school. After school, she bicycles 3 miles north to her friend Tracy's house. How far is ninas house from Tracy's house, measured in a straight line

Answer 1

Distance between nina's house to her friend's home = AC = 5 miles

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

`AC^(2) = AB^(2) + BC^(2)`

`AC^(2) = 3^(2) + 4^(2)`

`AC^(2) =25`

AC = 5 miles

Therefore Distance between nina's house to her friend's home = AC = 5 miles