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Question

Amit walks $$16\ m$$ south from his house and turns east to walk $$63\ m$$ to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance he walk while returning?


Solution

It is given that
Amit walks $$16\ m$$ south from his house and turns east to walk $$63\ m$$ to reach his friend's house
Consider $$O$$ as the house and $$A$$ and $$B$$ as the palces
$$OA=16\ m, OA=63\ m$$
Using Pythagoras theorem
$$OB^{2}=OA^{2}+AB^{2}$$
Substituting the values 
$$=16^{2}+63^{2}$$
By further calculation
$$=256+3969$$
$$=4225$$
So we get
$$OB=\surd 4225=65$$
1702256_1806604_ans_996b9df0ecc14e888a7b3be988332313.png

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