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Geometry Problem 1324: Quadrilateral, Diagonal, 45 Degrees, Angle Bisector, Isosceles Triangle, Congruence. Level: High School, Honors Geometry, College, Mathematics Education

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The figure shows a quadrilateral ABCD with AC = CD and angle ACB = angle ACD = 45 degrees. Points F and E are on CD so that AE is parallel to BC, AB = BE and BE = 2CF. Prove that BD = 2BF = 3BC.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.

 

Quadrilateral, Diagonal, 45 Degrees, Angle Bisector, Isosceles Triangle, Congruence
 

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Art and typography of problem 1324 

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