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Review: Triangle in the Coordinate Plane
Explanation
This question gives us a rule for how the triangle ABC can
be constructed and it asks us to determine the area of the triangle, if we can.
To find the area of a triangle, we need a valid base-height pair. We can take
AB as the base and imagine a particular triangle ABC. The definition of the
height relative to AB is that it's the length of the line that is perpendicular
to the base and which joins the other vertex of the triangle with the base, or
an extension of the base. That means that the height of the triangle is 5 not
only when point C is between A and B - it's always 5, in fact. Therefore, 
.
The correct answer is (B).
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