A circular lake is located at a certain barangay in Tagaytay. An existing road runs tangential to the circular lake. Twelve kilometers from the point of tangency, along the existing road, a new road of 8 km length is constructed to the periphery of the lake at B. The new road is extended to cross the lake. Compute the length of the bridge needed to cross the lake

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EXPERT ANSWER

First we sketch the situation as done below