Geometry Problem 1363: Square, Angle Bisector, Perpendicular, 45 Degrees, Angle, Sketch, iPad Apps.

Proposition

In the figure below, ABCD is a square and E is any point on AD. The bisector of angle EBC meets CD at F. FG is perpendicular to BE (G on BE), AG and BF extended meet at H. Prove that angle AHB = 45 degrees. This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.
 


Geometry Problem 1363: Square, Angle Bisector, Perpendicular, 45 Degrees, Angle, Sketch, iPad Apps

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Sketch and Typography of problem 1363 using iPad Apps


Sketch and typography of Geometry Problem 1363 using iPad Apps, Tutor

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Geometry Problem 1363 Solution(s)