Online Geometry theorems, problems, solutions, and related topics.
Geometry Problem. Post your solution in the comments box below.Level: Mathematics Education, High School, Honors Geometry, College.Click the diagram below to enlarge it.
Let S(ABC) be the area of ABC. S(PBC) − S(PAC) + S(PAB) = S(ABC)S(PBC)/S(ABC) − S(PAC)/S(ABC) + S(PAB)/S(ABC) = 1pa/ha − pb/hb + pc/hc = 1
P not an arbitrary exterior point, but also in the open convex set between the BA and BC rays. P could be an interior point of the BC side too.