MathDB

4

Part of 1993 ITAMO

Problems(1)

triangle of projections of P on perp. bisectors of ABC similar to ABC

Source: 1993 ITAMO p4

1/31/2020
Let PP be a point in the plane of a triangle ABCABC, different from its circumcenter. Prove that the triangle whose vertices are the projections of PP on the perpendicular bisectors of the sides of ABCABC, is similar to ABCABC.
geometryperpendicular bisectorprojectionssimilar triangles