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AMC / AIME · Power of a Point · Medium

Power of a Point: Tangent length math, whole secant math. External secant segment?

Chord and tangent-secant.

Try the problem

Tangent length

10

, whole secant

25

. External secant segment?

Hint and answer

Concept to use

Tangent-secant.

Hint

100=25e

→ no:

t^2=e\cdot w

, need external

e

with

w=25

.

Answer

4

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