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Mathematics 8 Online
OpenStudy (batman31):

Hi. This is important. I need help within the hour. 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 coordinate: Brighton Bluff at B(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 shower should be placed. There is also an extra part I have to do that reads : what is the point that is equidistant from the vertices of the triangle? I have tried

OpenStudy (batman31):

to do this alone three times, and every time I have failed. I would settle for someone just giving me the answer at this point.

OpenStudy (anonymous):

ok click on draw and draw it for starters

jimthompson5910 (jim_thompson5910):

Step 1) Find the perpendicular bisector of BP Step 2) Find the perpendicular bisector of BH Step 3) The intersection point of the perpendicular bisector is where the showers would be built. This is the circumcenter of the circumscribed circle. This page has a step by step animation http://www.mathopenref.com/constcircumcircle.html

jimthompson5910 (jim_thompson5910):

Because you're given coordinates, you can use algebra to compute the equations, slopes and points

OpenStudy (batman31):

Too late, I'm gonna have to do it on my own or not at all. I have 30 min left to complete it.

jimthompson5910 (jim_thompson5910):

well don't blame me or anyone on OS for being late. You posted it 2 min ago, that's hardly not enough time

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