AMC / AIME · Power of a Point · Easy

Power of a Point: From external point, tangent length math and whole secant length math. Find the external secant segment.

Chord and tangent-secant.

Try the problem

From external point, tangent length 66 and whole secant length 99. Find the external secant segment.

Hint and answer

Concept to use

Intersecting chords.

Hint

62=e⋅96^2=e\cdot 9.

Answer

4

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