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Power of a Point Theorem
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In elementary plane geometry, the power of a point is a real number h that reflects the relative distance of a given point from a given circle.

AE · CE = DE · BE

BA2 = BC · BD

CB · CA = CD · CE
Example 1
Find the value of x in the following diagram:

AB · AC = AD · AE
3 · (3+5) = x(x+10)
x2 + 10x - 24 = 0(x+10)
(x+12)(x-2) = 0(x+10)
x = 2(x+10)
Example 2
Find the value of x in the following diagram:

EA · DA = CA · BA
6 · x = 4 · 1111111
x = 23111111