I am planning a new community project. I wish to build a simple community park. Currently I am developing access to the park, as the area is rural and this part is really underdeveloped. So we plan to build roads to and have trails through the park. Three straight roads will be used to surround the park while two straight bike trails will connect all three roads together. One of the roads will be 6 miles long; another will be 8 miles long. One bike trail will start at the median point of the 6 mile road and go to the corner of the other two roads. The other bike trail will start at the median point of the 8 mile road and go to the corner of the other two roads. The two trails intersect at a right angle. What is the length of the third road? How big is the park?

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I am planning a new community project. I wish to build a simple community park. Currently I am developing access to the park, as the area is rural and this part is really underdeveloped. So we plan to build roads to and have trails through the park. Three straight roads will be used to surround the park while two straight bike trails will connect all three roads together. One of the roads will be 6 miles long; another will be 8 miles long. One bike trail will start at the median point of the 6 mile road and go to the corner of the other two roads. The other bike trail will start at the median point of the 8 mile road and go to the corner of the other two roads. The two trails intersect at a right angle. What is the length of the third road? How big is the park?

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