Difference between revisions of "Two Tangent Theorem"
Hashtagmath (talk | contribs) (→See Also) |
|||
Line 1: | Line 1: | ||
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>4f007f927909b27106388aa6339add09df6868c6<geogebra> |
== Proofs == | == Proofs == |
Revision as of 00:08, 1 June 2022
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
[hide]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
This article is a stub. Help us out by expanding it.