Maths Olympiad Exam

HW:8'VXHM:701N>fBiHI4~70jm:²lp+VY

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Maths Olympiad Other Question

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:67';=UYHM Let AC be a line segment in the plane and B a point between A and C. Construct isosceles triangles PAB and QBC on one side of the segment AC such that APB = BQC = 120 and an isosceles triangle RAC on the otherside of AC such that ARC = 120. Show that PQR is an equilateral triangle.