Difference between revisions of "Two Tangent Theorem"

(added proofs)
m (Proof 2)
Line 7: Line 7:
  
 
=== Proof 2 ===
 
=== Proof 2 ===
From a simple application of [[Power of a Point]], the result follows.
+
From a simple application of the [[Power of a Point Theorem]], the result follows.
  
 
{{stub}}
 
{{stub}}
 
[[Category:Geometry]]
 
[[Category:Geometry]]

Revision as of 18:43, 10 March 2009

The two tangent theorem states that given a circle, if P is any point lying outside the circle, and if A and B are points such that PA and PB are tangent to the circle, then PA = PB.

<geogebra>4f007f927909b27106388aa6339add09df6868c6</geogebra> 

Proofs

Proof 1

Since $OBP$ and $OAP$ are both right triangles with two equal sides, the third sides are both equal.

Proof 2

From a simple application of the Power of a Point Theorem, the result follows.

This article is a stub. Help us out by expanding it.