Power of a Point Theorem/Introductory Problem 1: Difference between revisions
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Revision as of 08:19, 1 July 2006
Problem
Find the value of
in the following diagram:
Solution
Applying the Power of a Point Theorem gives us
. Expanding and simplifying we get
. This factors as
We discard the negative solution since distance must be positive. Thus
.
Back to the Power of a Point Theorem.