Rectangle extension and midpoint distances

Rectangle extension and midpoint distances

Secondary 2
TGM Original Questions

\(ABCK\) is a rectangle, \(M\) is the midpoint of \(BC\), and \(D\) lies vertically above \(C\). Given \(AB=6\) cm and \(AD=CD=10\) cm, find \(AK=x\) and \(AM=y\), to 4 significant figures.

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Answer:\(x=9.165\) cm, \(y=7.550\) cm.

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