Using Midpoints to Find the Vertices of a Triangle

Using Midpoints to Find the Vertices of a Triangle

In \(\Delta PQR\), the midpoints of the sides \(PQ\), \(PR\) and \(QR\) are \(A\left( 11,-3 \right)\), \(B\left( 4,9 \right)\) and \(C\left( 3,-2 \right)\) respectively. Find the coordinates of \(P\), \(Q\) and \(R\).

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Answer:\(P=(12,8)\), \(Q=(10,-14)\), \(R=(-4,10)\)

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