Difference between revisions of "Power of a Point Theorem"
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| − | The Power of a Point theorem expresses the relation between the lengths of two lines intersecting at a point and a [[circle]]. | + | The Power of a Point theorem expresses the relation between the lengths of two lines intersecting at a point and a [[circle]]. If <math>AB</math> and <math>CD</math> are two chords on a circle that intersect inside the circle at point <math>X</math>, then we have <math>AX\times XB = CX\times XD</math>. This theorem is frequently used on competitions such as the [[AIME]]. |
==See also== | ==See also== | ||
Revision as of 16:45, 24 June 2006
The Power of a Point theorem expresses the relation between the lengths of two lines intersecting at a point and a circle. If 
and 
are two chords on a circle that intersect inside the circle at point 
, then we have 
. This theorem is frequently used on competitions such as the AIME.
See also
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