Online Geometry Problems

Online Geometry Problem 854: Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines. Level: High School, College, Mathematics Education

The figure below shows a triangle ABC. Lines DE, FG, and HM passing through a point O, are parallel to AC, BC, and AB, respectively. If S1, S2, S3, S4, S5, and S6, are the areas of the shaded regions, prove that: Formula to prove: Triangle, parallelogram, area.

 

Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines
 


 

Sketch and typography of problem 854 using iPad Apps

Sketch and typography of problem 854 using iPad Apps, Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines
 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 851-860 | Triangles | Parallelogram | Parallel lines | Concurrent lines | Similarity | Parallelogram area | Triangle area | Email | Solution / comment | By Antonio Gutierrez