Sunday, February 15, 2015

Geometry Problem 1084: Circle, Chord, Radius, Diameter, Parallel lines, 45 Degrees, Metric Relations

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the diagram below to enlarge it.

Online Math: Geometry Problem 1084: Circle, Chord, Radius, Diameter, Parallel lines, 45 Degrees, Metric Relations.

1 comment:

  1. Join AD, BE, AE.
    Then ACDB and BCDE are isosceles trapeziums.

    Since ∠CBE = ∠BCD = 45°,
    thus ∠ABE = 90°. i.e. AE is diameter and AE=2r.

    Now since BE=CD=c, so in ΔABE, a²+c²=4r².
    Also since AD=BC=b, so in ΔADE, b²+d²=4r².

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