# Lets Play With Coordinates

Geometry Level 4

Let $$p_1,p_2$$ and $$p_3$$ be the lengths perpendicular from the points $$(m^2,2 m),(mk,m+k)$$ and $$({k}^2,2 k),$$ respectively, to the line $x \cos\alpha +y \sin\alpha +\dfrac{\sin^2\alpha}{\cos\alpha}=0.$

Then $$p_1, p_2, p_3$$ follows a/an $$\text{__________}$$.

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