MathDB

2022 Geo Div 2 P4

Source:

February 28, 2022

geometry

Problem Statement

Circle

\Gamma

has diameter

\overline{AB}

with

AB = 6

. Point

C

is constructed on line

AB

so that

AB = BC

and

A \neq C

. Let

D

be on

\Gamma

so that

\overleftrightarrow{CD}

is tangent to

\Gamma

. Compute the distance from line

\overleftrightarrow{AD}

to the circumcenter of

\triangle ADC

.
Proposed by Justin Hsieh

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