UPSKILL MATH PLUS

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If \(P, Q\) and \(R\) are the mid-points of the sides \(BC, CA\) and \(AB\) of a triangle and \(AD\) is the perpendicular from \(A\) on \(BC\), prove that \(P, Q, R\) and \(D\) are concyclic.
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.