Two Tangent Theorem: Difference between revisions
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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. | 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> | |||
Hello | |||
== Proofs == | |||
=== Proof 1 === | |||
Since <math>OBP</math> and <math>OAP</math> 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(or Power Point Theorem)]], the result follows. | |||
==See Also== | |||
{{stub}} | {{stub}} | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
[[Category: Theorems]] | |||
Latest revision as of 23:39, 2 November 2025
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> Hello
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(or Power Point Theorem), the result follows.
See Also
This article is a stub. Help us out by expanding it.
