△ABC is an equilateral. N is a point on AC, and E is a point on BN. Let P be the circumcenter of △ABN. Prove that point P is on the circumcircle of △AEN.
How do I prove it? Is there a way of proving quadrilateral EPAN is cyclic?
#Cyclic Quadrilateral Proof Help
rustic kayak
crimson krakenBOT
south agate
△ABC is an equilateral. N is a point on AC, and E is a point on BN. Let P be th...
Something is wrong with the statement. You can move E along BN and P may well be not on the circumcircle of AEN.
rustic kayak
Sorry, I forgot to mention that CE is perpendicular to AB
south agate
Sorry, I forgot to mention that CE is perpendicular to AB
Then it is obvious. P is on CE. And if CE intersects AB at D then ∠APD =∠ANB (as P is circumcenter)