MathDB

2015 Geometry #4

Source:

December 23, 2016

Problem Statement

Let

ABCD

be a cyclic quadrilateral with

\overline{BC}

,

B

,

CD=2

,

DA=4

. Let lines perpendicular to

\overline{BC}

from

B

and

C

meet

A

at

B'

and

C'

, respectively. Let lines perpendicular to

\overline{BC}

from

A

and

D

meet

\overline{AD}

at

A'

and

D'

, respectively. Compute the ratio

\frac{[BCC'B']}{[DAA'D']}

, where

[\overline{\omega}]

denotes the area of figure

\overline{\omega}

.

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