SOLUTION: Li went for a mountain-bike ride in a relatively flat wooded area. She rode for 5 km in one direction and then turned and pedaled 17 km in another. Finally she turned in the direct

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Question 466108: Li went for a mountain-bike ride in a relatively flat wooded area. She rode for 5 km in one direction and then turned and pedaled 17 km in another. Finally she turned in the direction of her starting point and rode 8 km. When she stopped, was it possible that Li was back at her starting point? Explain.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
No. If this was possible, a triangle would be formed, however its sides would be 5 km, 17 km, 8 km. This is impossible, since it violates the triangle inequality (5 + 8 < 17).