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Concyclic points and miquel point

Source: Sharygin 2017 Day 2 Problem 10.5 Grade 10

August 2, 2017

geometry

Problem Statement

10.5 Let

BB'

,

CC'

be the altitudes of an acute triangle

ABC

. Two circles through

A

and

C'

are tangent to

BC

at points

P

and

Q

. Prove that

A, B', P, Q

are concyclic.

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