The Setup:

Points inside a triangle are ‘related’ algebraically to points at the vertices. We introduce the idea using a problem from I.S.I. B.Stat 2014.

Problem: Let PQR be a triangle. Take a point A on or inside the triangle. Let f(x, y) = ax + by + c. Show that f(A)maxf(P),f(Q),f(R)


Part 1

Part 2