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Age 14 to 16 Challenge Level:
A right-angled triangle ABC is right-angled at B.
An equilateral triangle is constructed on BC.
A line QD is drawn, where Q is the midpoint of AC.
Prove that AB is parallel to QD.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.