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Circle O and circle P, with radii 3 and 5, respectively, are both tangent to line l at H. Enter all possible lengths of OP separated by commas.

thanks in advance to anyone who answers!

~ iamhappy

 Feb 22, 2021
 #1
avatar+31281 
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Could be they are tangent on opposite sids of the line

  then OP = 3+5 = 8

  if they are tangent on the SAME side of the line ( one circle is inside the other)   then OP would be 5 - 3  = 2 units

 Feb 22, 2021
 #2
avatar+118069 
+2

Here's a visual representation of EP's answer  :

 

 

 

cool cool cool

 Feb 22, 2021
edited by CPhill  Feb 22, 2021

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