Difference between revisions of "Two Tangent Theorem"
m |
Northstar47 (talk | contribs) m |
||
(3 intermediate revisions by 2 users not shown) | |||
Line 9: | Line 9: | ||
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== | ||
+ | {{stub}} | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
+ | [[Category: Theorems]] |
Latest revision as of 22:47, 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>
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.
See Also
This article is a stub. Help us out by expanding it.