Question

Triangle DEF has vertices at D(2,8), E(6,2) and F(-3,2). Use analytic geometry to determine the coordinates of the orthocentre (the point where the altitudes intersect.)

Answer 1

Answer:

The orthocenter of a triangle, or the intersection of the triangle's altitudes, is not something that comes up in casual conversation. Dealing with orthocenters, be on high alert, since we're dealing with coordinate graphing, algebra, and geometry, all tied together. It is anything but casual mathematics.