2.3 Apply Slope, Midpoint, and Length Formulas

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2.3 Apply Slope, Midpoint, and Length Formulas

Example A Ranger cabin is to be built in a flat wooded area near the straight road that connects the two campgrounds in a park. A new side road will connect the cabin to the campground road. On the park map, the campgrounds have coordinates A(2.0,8.5) and B(10,4.5), while the site for the cabin is at R(6,1.5). A) Find a route that minimizes cost and tree damage B) What is the length of that road?

Example 2 The vertices of triangle ABC are A(5,5), B(-3,-1) and C(1,-3). Determine whether the triangle is a right triangle.

Example 3 Show that the Median from Vertex C is half as long as the Hypotenuse.

Questions Pg 89 #'s 1, 2, 3, 4, 6, 10, 17, 20