standard_description: (+)Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
problem_activity: Task
Below is a picture of a triangle $ABC$ on the coordinate grid.  The red lines are parallel to $\overleftrightarrow{BC}$:
[IMG]
Suppose $P = (1.2,1.6)$, $Q = (2,4)$, and $R = (2.4,5.2)$.
Find the coordinates of the points $u$, $v$, and $w$.


aligns: no