AMC / AIME · Power of a Point · Easy

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

Chord and tangent-secant.

Try the problem

From external point, tangent length 66 and secant external segment 44. Find whole secant length.

Hint and answer

Concept to use

Intersecting chords.

Hint

62=4⋅w6^2=4\cdot w.

Answer

9

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