Question 3

Rahul walks 12 m towards North from his house and turns West to walk 35 m to reach the market. While returning, he walks diagonally from market to reach back to his house. The distance he travelled while returning is

The North and West paths are at right angles, so the diagonal is the hypotenuse of a right triangle. Its length is $$\sqrt{12^2 + 35^2} = \sqrt{144 + 1225} = \sqrt{1369} = 37\ \text{m}$$.

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