make a sketch to get a "feel" for the triangle
a) find the slope of AB, AB, and BC.
look for a pair of slopes that are negative reciprocals of each other. If you find such a pair, the the contained angle is your right angle.
b) from you sketch you can decide which is the base and height. Find the length of the base and height
Area = (1/2) base x height
c) Find the equation of the right-bisector of two of the sides. Solve these two equations.
Consider the three points A(2,3,1) B(1,-2,3) C(7,4,6)
a) Show that ABC is a right triangle.
b) Calculate the area of this triangle.
c) Find the coordinates of the center of the circle circumscribed about triangle ABC
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