Question

9. Rahul Walks 12m north from his house and turns west to walk 35m to reach his friend’s house. While returning he walks diagonally from his friend’s house to reach back to his own house. What distance he traveled while returning?

Answer 1

Answer:37m

Step-by-step explanation:

Let Rahul's house be A.

Let his friend's house be C.

And let the spot of turning be B.

Therefore the route of Rahul towards and while returning forms a right angled triangle.

Hence by Pythagoras theorem,

(AC) ^2=(AB) ^2+(BC) ^2

(AC) ^2=(12) ^2+(35) ^2

(AC) ^2=144+1225

(AC) ^2=1369

AC=√1369

AC=37

Therefore, the distance he travelled while returning is 37m.