Question : Directions: Arjun starts from school and walks 4 km towards the west, turns right, and walks 3 km. Then he planned to return to school but only through the shortest path. What is the shortest distance between the school and the point where he stopped?
Option 1: 3 km
Option 2: 16 km
Option 3: 25 km
Option 4: 5 km
Correct Answer: 5 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the shortest distance from the starting point and to the endpoint travel by Arjun.
Here, A is the starting point and C is the finishing point of Arjun.
By applying the Pythagoras theorem –
(AC)
2
= (AB)
2
+ (BC)
2
(AC)
2
= (4)
2
+ (3)
2
(AC)
2
= 16 + 9
(AC) = 25
AC = 5
So, the shortest distance between the Arjun and the school is 5 km. Hence, the fourth option is correct.
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