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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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