MathDB

Paraguayan National Olympiad 2007, Level 3, Problem 3

Source:

September 1, 2014

ratioanalytic geometrygraphing linesslope

Problem Statement

Let

ABCD

be a square,

E

and

F

midpoints of

AB

and

AD

respectively, and

P

the intersection of

CF

and

DE

. a) Show that

DE \perp CF

. b) Determine the ratio

CF : PC : EP