Hiking Beginning from a point on Summit Trail, a hiking club will build a trail to the Overlook and a trail to Balance Rock. Working under a tight budget, the club members want to minimize the total length of the two trails. How can you find the point on Summit Trail where the two new trails should start? Assume the trails will be straight and that they will cover similar terrain.
Know | Need | Plan |
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The ending points, O and R, of the two trails | The point P on Summit Trail for which
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Reflect O across Summit Trail to
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You need to find the point P on line t such that
To see how the Triangle Inequality Theorem applies, look at another possible starting point, S. You can use
Use the graph of