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**Circles: The Length of Tangent/Secant Lines**

Endpoint outside the circle…

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**Secant and Tangent Lines**

If part of secant line is outside circle, call it the “external segment.” A DA = Secant Line DC = Tangent Line DB = External Segment of the Secant Line. B D C

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**Secant and Tangent Lines**

The square of the tangent line is equal to the product of the external segment and the whole secant line. (Tangent)2 = External Segment(Secant Line) A (DC)2 = DB(DA) B D C

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**Example 8 x Secant: DA = 20 Ext. Seg: DB = 8 (DC)2 = DB(DA)**

To find an unknown length: Use a variable. Substitute the values you know. Simplify. Secant: DA = 20 Ext. Seg: DB = 8 A (DC)2 = DB(DA) B 8 (x)2 = 8(20) D x C

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