Geometry Problems, Online Education

 Problem 122. Marion Walter's Theorem, Areas. Level: High School, SAT Prep, College

In the figure below, prove that the area S1 of the central hexagonal region DEFGHM determined by trisection of each side of a triangle ABC and connecting the corresponding points A', A", B', B", C', and C" with the opposite vertex is given by 1/10 the area of triangle ABC. View or post a solution.

Marion Walter theorem proof

See also: 

Geometry: Jigsaw Puzzle: Marion Walter's Theorem.
32 Quadrilateral Pieces.

Home | Geometry | Problems | Marion Walter Index | 121-130 | Segment Trisection | Area of a triangle | Similarity | Email | by Antonio Gutierrez
View or post a solution