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point construction, trapezoid with diagonals of 60^o

Source: Netherlands - Dutch NMO 1964 p1

January 31, 2023
geometrytrapezoidconstruction

Problem Statement

Given a triangle ABCABC, ∠C=60o\angle C= 60^o. Construct a point PP on the side ACAC and a point QQ on side BCBC such that ABQPABQP is a trapezoid whose diagonals make an angle of 60o60^o with each other.
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