# Ram Walks 4 km North-West and then 3 km South-West, How far from Starting point

Ram walks 4 km north-west and then 3 km south-west. How far is he from his starting point?

- 12 km
- 7 km
- 6 km
- 5 km

Ram walks in north – west direction = 4 km

and he walks in south – west direction = 3 km

In figure –

Triangle ABC is a right angle triangle

AC^{2} = AB^{2} + BC^{2} (by Pythagoras theorem)

AC^{2} = 3^{2} + 4^{2} = 9 + 16

AC^{2} = 25

AC = 5 km

Hence, the distance between starting point and ending point is 5 km.