#### Sort by

#### Power of a Point Theorem

### Calculator

#### Knowledge

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

BA

^{2}= BC · BDCB · CA = CD · CE

#### Example 1

Find the value of x in the following diagram:

AB · AC = AD · AE

3 · (3+5) = x(x+10)

x^{2} + 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 = *2**3*111111