Answer:
4.5 km
10.3 km
Step-by-step explanation:
The shortest distance from gymnasium to library:
Each square box representing 1 unit
1unit = 1 km
A.)
Distance, d ;
Using Pythagoras :
d = sqrt(2² + 4²)
d = sqrt(4 + 16)
d = sqrt(20)
d = 4.47
d = 4.50 (nearest tenth)
Shortest Distance from gymnasium to library
B.)
shortest distance from his house to the gymnasium, then the shortest distance to the library
House to gymnasium (d1) :
d1 = sqrt(3² + 5²)
d1 = sqrt(9 + 25)
d1 = sqrt(34)
d1 = 5.83
Gymnasium to Library (d2) :
d2 = sqrt(2² + 4²)
d2 = sqrt(4 + 16)
d2 = sqrt(20)
d2 = 4.47
Total distance = (d1 + d2) = (5.83 + 4.47) = 10.3km
