MathDB

Parallelogram

Source:

December 22, 2005

geometryparallelogramcircumcirclefloor functionratiotrigonometry

Problem Statement

In parallelogram

ABCD,

let

O

be the intersection of diagonals

\overline{AC}

and

\overline{BD}.

Angles

CAB

and

DBC

are each twice as large as angle

DBA,

and angle

ACB

is

r

times as large as angle

AOB.

Find the greatest integer that does not exceed

1000r.

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