let ABCDEF be a convex hexagon in which the diagonals AD,BE,CF aew concurrent at O. Suppose the area of the triangle OAF is the geometric mean of those of OAB and OEF; the area of the triangle OBC is the geometric mean of those of OAB and OCD. Prove that the area of the triangle OED is the goemetric mean of those of OCD and OEF
let ABCDEF be a convex hexagon in which the diagonals AD,BE,CF aew concurrent at O. Suppose the area of the triangle OAF is the geometric mean of those of OAB and OEF; the area of the triangle OBC is the geometric mean of those of OAB and OCD. Prove that the area of the triangle OED is the goemetric mean of those of OCD and OEF
Sudheesh Singanamalla , 14 Years ago
Grade 12
