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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


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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)= (4)2 + (3)2
(AC)= 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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