I already know how to solve this one, but I want to see if anyone else can :)
Altitudes $\overline{AP}$ and $\overline{BQ}$ of an acute triangle $\triangle ABC$ intersect at point $H$. If $HP=5$ while $HQ=2$, then calculate $(BP)(PC)-(AQ)(QC)$.
This is from Alcumus
This question was already solved:
https://web2.0calc.com/questions/please-help-thank-you_10
Hope this helps ;P