Difference between revisions of "Power of a point theorem"
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==Statement:== | ==Statement:== | ||
| + | |||
| + | There are three unique cases for this theorem. | ||
===Case 1 (Inside the Circle):=== | ===Case 1 (Inside the Circle):=== | ||
| − | If two chords [i]AB[/i] and [i]CD[/i] intersect at a point [i]P[/i] within a circle, then | + | If two chords [i]AB[/i] and [i]CD[/i] intersect at a point [i]P[/i] 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 12:59, 23 April 2024
Contents
Statement:
There are three unique cases for this theorem.
Case 1 (Inside the Circle):
If two chords [i]AB[/i] and [i]CD[/i] intersect at a point [i]P[/i] within a circle, then 
Case 2 (Outside the Circle):
Case 3 (On the Border/Useless Case):
- Still working
