Help please?

BIG idea Coordinate Geometry You can use the Midpoint Formula, the slope formula, and the relationship between perpendicular lines to nd points of concurrency. Task 1 Your math teacher manages a campground during summer vacation. He loves math so much that he has mapped the campground on a coordinate grid. The campsites have the following coordinates: Brighton Bluff at 3(2, 2), Ponaganset Peak at P(4, 10), and Harmony Hill at H(12, 2). He wants to build showers that are equidistant from all three campsites. Find the coordinates of the point where the showers should be placed. BIG idea Reasoning and Proof You can use proven theorems to explore relationships among sides, angles, and special lines and segments in triangles. Task 2 a. Draw AABC with obtuse /_C and construct its orthocenter 0. Then nd the orthocenters of AABO, AACO, and ABCO. What did you discover? Explain why you get this result. b. Will your conjecture be true for any acute or right AABC? Explain your reasoning. BIG idea Reasoning and Proof You can use indirect reasoning to prove relationships within triangles. Task 3 In AABC, AB as BC. Show that there does not exist a point P on altitude B E that is equidistant from A and C