Centroid, Incentre, Orthocentre?
Geometry
Level
5
As shown above, an angle bisector, median, and altitude intersect at the same point in right triangle \(ABC.\)
\(\cos^2 \angle ABC = \dfrac{p}{q+\sqrt{r}},\) where \(p\) and \(q\) are positive integers and \(r\) is a prime number. Find the value of \(p+q+r\).
by
Chan Lye Lee