Difference between revisions of "Power of a point theorem"

(Case 1 (Inside the Circle):)
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===Case 1 (Inside the Circle):===
 
===Case 1 (Inside the Circle):===
  
If two chords <math> AB </math> and <math> CD </math> intersect at a point [i]P[/i] within a circle, then <math> AP\cdot BP=CP\cdot DP </math>
+
If two chords <math> AB </math> and <math> CD </math> intersect at a point <math> P </math> within a circle, then <math> AP\cdot BP=CP\cdot DP </math>
  
 
===Case 2 (Outside the Circle):===
 
===Case 2 (Outside the Circle):===

Revision as of 13:16, 23 April 2024

Statement:

There are three unique cases for this theorem.


Case 1 (Inside the Circle):

If two chords $AB$ and $CD$ intersect at a point $P$ within a circle, then $AP\cdot BP=CP\cdot DP$

Case 2 (Outside the Circle):

Case 3 (On the Border/Useless Case):

    • Still working