MathDB

5

Part of 1975 Czech and Slovak Olympiad III A

Problems(1)

Locus of vertices of isosceles triangles

Source: Czech and Slovak Olympiad 1975, National Round, Problem 5

7/20/2024
Let a square P=P1P2P3P4\mathbf P=P_1P_2P_3P_4 be given in the plane. Determine the locus of all vertices AA of isosceles triangles ABC,AB=BCABC,AB=BC such that the vertices B,CB,C are points of the square P.\mathbf P.
geometryLocusisoscelesTrianglessquare