find x

[jzinko12]

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[stapel]

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I will guess that your subject line contains your actual question, so your post is meant to say something along the lines of the following:

Let the circle centered at A have a radius of r = 10. Let the circle centered at B have a radius of r = 9. Let the two circles be tangent to each other. Let line L be tangent to the two circles, with L touching the first circle at point D and the second circle at point C. Let x be the length of the segment CD. Find the value of x.

What have you tried? Where are you stuck?

Please be complete. Thank you!

 

[Deleted member 4993]

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Join the centers AB. Drop a perpendicular from B onto AD. Continue....