Difference between revisions of "Two Tangent Theorem"

(It's been cited so many times, but the page doesn't exist. I'm making it here. Please extend it.)
 
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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.
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It follows from [[Power of a Point]] trivially, or we can use similar triangles, given that tangents to a circle form a right angle to the radius to the point of tangency.
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[[Category:Geometry]]

Revision as of 19:40, 8 March 2009

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.

It follows from Power of a Point trivially, or we can use similar triangles, given that tangents to a circle form a right angle to the radius to the point of tangency.

This article is a stub. Help us out by expanding it.