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> | <geogebra>4f007f927909b27106388aa6339add09df6868c6</geogebra> | ||
== Proofs == | == Proofs == | ||
Revision as of 21:47, 5 December 2023
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 
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.
See Also
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