SOLUTION: Mary went for a mountain bike ride in a relatively flat wooded area. She rode for 6 km in one direction and then turned and pedalled 5 km in another. Finally, she turned in the di

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Question 1157931: Mary went for a mountain bike ride in a relatively flat wooded area. She rode for 6 km in one direction and then turned and pedalled 5 km in another. Finally, she turned in the direction of her starting point and rode 9 km. When she stopped, was it possible that Mary was back at her starting point? Explain.
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


Yes.

If she is back at her starting point, then the three legs of the trip form a triangle.

A triangle with sides of lengths 5, 6, and 9 is possible, because 9 is less than the sum of 5 and 6.


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