Geometry Problem 1293

Elements: Triangle, Altitudes, Two Squares, Center, Concurrent Lines, Midpoint

The figure below shows a triangle ABC with the altitudes AH and CJ. O and Q are the centers of the squares ABDE and BCFG, respectively. Prove that (1) EF, HO, and JQ are concurrent at a point M; (2) M is the midpoint of EF.


Geometry Problem 1293: Triangle, Altitudes, Two Squares, Center, Concurrent Lines, Midpoint
 

Geometric Art of Problem 1293: Sketching, Typography, iPad Apps

Geometric Art of Problem 1293: Triangle, Transversal, Cevian, Area, Quadrilateral, Sketching, Typography, iPad Apps, Art, SW, Tutor

 

Online education degree: Geometry problems

Geometry Problems
1291-1300
Visual Index
Open Problems
All Problems
Triangle
Altitude
Square
Concurrent lines
Congruence
Midpoint

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