MathDB

BMT 2021 Guts Round p12

Source:

October 7, 2022

geometry

Problem Statement

Unit square

ABCD

is drawn on a plane. Point

O

is drawn outside of

ABCD

such that lines

AO

and

BO

are perpendicular. Square

F ROG

is drawn with

F

on

AB

such that

AF =\frac23

,

\overline{AB}

is on

\overline{BO}

, and

G

is on

\overline{AO}

. Extend segment

\overline{OF}

past

\overline{AB}

to intersect side

\overline{CD}

at

E

. Compute

DE

.

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