MathDB

computational, equal angles and a square (2016 Auckland MO S2)

Source:

December 30, 2020

geometryequal anglessquare

Problem Statement

In square

ABCD

\overline{AC}

and

\overline{BD}

meet at point

E

. Point

F

is on

\overline{CD}

and

\angle CAF = \angle FAD

. If

\overline{AF}

meets

\overline{ED}

at point

G

, and if

\overline{EG} = 24

cm, then find the length of

\overline{CF}