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Can any one solve the followong by plane Euclidean geometry?

I got it by co-ordinate geometry, but couldn't get it by plane...

>In an acute - angled triangle PQR , angle P=[tex]\pi[/tex]/6 , H is the orthocentre, and M is the midpoint of QR . On the line HM , take a point T such that HM=MT. Show that PT=2QR.

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# Plane Geometry Problem

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