A person starts from A and travels 3 km. in the north east direction and then travels 4 km. in the south east direction and reaches B. The distance between A and B is

A) 3 km.

B) 4 km.

C) 5 km.

D) None of these

Correct Answer:

C) 5 km.

Description for Correct answer:

A is the starting point and

B is the finishing point.

To find the distance between A and B

From \( \Large \triangle ADC, \angle B = 90 ^{\circ} ;\ AC = 3 km.\ BC = 4 km. \)

\( \Large AB^{2} = AC^{2} + BC^{2} \)

=\( \Large 3^{2} + 4^{2} \)

=\( \Large 9 + 16 =25 \)

\( \Large AB = \sqrt{25} = 5 \)

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