let CD be a chord of a circle T1 and AB a diameter

Geometry Level pending

let CD be a chord of a circle T1 and AB a diameter of T1 perpendicular to CD at N with AN>NB. A circle T2 centred at C with radius CN intersects T1 at points P & Q and the segments PQ and CD intersect at M. Given that the radii of T1 and T2 are 61 and 60 respectively. Find the length of AM.


The answer is 78.

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