MathDB

Iran(Second Round) 2015,second day,problem 4

Source: Iran(Second Round) 2015,second day,problem 4

May 8, 2015

geometry proposedgeometry

Problem Statement

In quadrilateral

ABCD

AC

is bisector of

\hat{A}

and

\widehat{ADC}=\widehat{ACB}

X

and

Y

are feet of perpendicular from

A

BC

and

CD

,respectively.Prove that orthocenter of triangle

AXY

is on

BD