Question

A boy started from his initial position and covers a distance of $50$ m to reach a point $A$. From point $A$ he take a ${120}^o$ left turn and start moving to cover $50$ m distance to reach point $B$. From point $B$ he again take a ${120}^o$ left turn and cover the distance of $50$ m.
State whether the given statement is true or false.

• A. True
• B. False

Answer 1

The correct option is A True


The situation given in the question can be shown by the diagram as given above.

At position $A\&B$, interior angles are ${60}^o$. Distance between the initial position and point A, point A and point B are $50\text{m}$.

Hence, at the initial position interior angle will be ${60}^o$.

Distance between point B and initial position will be $50\text{m}$ because length of three sides are equal when interior angles of a triangle are ${60}^o$.

Hence, after covering $50\text{m}$ from point B, the boy will reach intital position.

and the above diagram can also be shown as.
We can see that the path is trianglular path which is polygonal.
So, the statement is true.