AMC / AIME · Power of a Point · Medium

Power of a Point: Tangent length math, external secant segment math. Find whole secant length.

Chord and tangent-secant.

Try the problem

Tangent length 1212, external secant segment 44. Find whole secant length.

Hint and answer

Concept to use

Tangent-secant.

Hint

122=4⋅w12^2=4\cdot w.

Answer

36

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