Mathematics, 16.08.2020 16:01 ptrlvn01

ABC is a non-right triangle. The perpendicular to (AB) passing through B and the perpendicular to (AC) passing through C intersect at D. The perpendicular to (AB) passing through A and the perpendicular to (BC) passing through C intersect at E. Show that the points A, E, C and B are on the same circle that we will determine.

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