Stage 18 · Circles

18.5.3 The Tangent-Length Theorem

18.5 Tangent Lines — The Line That Only Kisses Once

Point 3 of 5

18.5.3 The Tangent-Length Theorem

Core idea

Draw two tangents to a circle from a single outside point and the two tangent segments are equal, while the line from that point to the center also bisects the angle between them.

Module goal. Dig deep into the borderline case of tangency, mastering a tangent's properties, its test, and the tangent-length theorem, then apply them to a triangle's inscribed circle.
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