MathDB

unit square and a circle (IV Soros Olympiad 1997-98 Correspondence 9.1)

Source:

June 1, 2024

geometry

Problem Statement

Through vertices

A

and

B

of the unit square

ABCD

, passes a circle intersecting lines

AD

and

AC

at points

K

and

M

, other than

A

. Find the length of the projection

KM

onto

AC