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# Two Circles and One Tangent

## How to Find the Distance between the Circles's Centers

##### Example 1

$$HZ$$ is a tangent connecting to the 2 circles. What is the distance between the centers of the circles?

##### Example 2

$$HZ$$ is a tangent connecting to the 2 circles. What is the distance between the centers of the circles?

##### Problem 1
Step 1
Create the rectangle.
Step 2
$WP^2 = 6^2 + 24^2 \\ WP = \sqrt{ 6^2 + 24^2 } \\ \text{m } \overline{WP} \approx 24.7$
##### Problem 2
$WP^2 = 40^2 + 30^2 \\ WP = \sqrt{ 40^2 + 30^2 } \\ \text{m } \overline{ WP } = 50$
##### Problem 3
$WP^2 = 80^2 + 60^2 \\ WP = \sqrt{ 80^2 + 60^2 } \\ \text{m } \overline{ WP } = 100$