MathDB

Suppose

ABC

is a triangle with

M

the midpoint of

BC

. Suppose that

AM

intersects the incircle at

K,L

. We draw parallel line from

K

and

L

BC

and name their second intersection point with incircle

X

and

Y

. Suppose that

AX

and

AY

intersect

BC

P

and

Q

. Prove that

BP=CQ

Problem Statement