Find the length!

Geometry Level 4

\(\triangle ABC\) is an acute angled triangle with \(\angle A = 30^{\circ}\) and \(BC = 5\) cm. \(H\) is the orthocentre, and \(M\) is the midpoint of \(BC\). \(T\) is a point on the line \(HM\) such that \(HM = MT\). Find the length of \(AT\) in centimetres.

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