# Difference between revisions of "Two Tangent Theorem"

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

+ | ==See Also== | ||

[[Category:Geometry]] | [[Category:Geometry]] | ||

+ | [[Category: Theorems]] |

## Revision as of 12:28, 9 April 2019

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>

## Contents

## Proofs

### Proof 1

Since and 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.