I like big circles

Geometry Level 4

Three circles whose radii are 21 cm,32 cm,19 cm21 \text{ cm}, 32 \text{ cm}, 19 \text{ cm} touch one another externally. The tangents at their points of contact meet at a point. Find the distance of the point from the nearest point of contact of the tangents. Give your answer to 3 decimal places.

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