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If you take a circle enclosed inside an isosceles triangle, and then draw a line which is tangent to the circle and which intersects with the two equal sides, is that line parallel to the triangle's third line?

Here is an image:

http://i.stack.imgur.com/HV2DB.png.

If the answer is yes, then is it also true if the tangent line was draw between two non-equal sides?

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    $\begingroup$ Take the tangent a little to the right of the one drawn. $\endgroup$ – André Nicolas Aug 23 '15 at 7:15
  • $\begingroup$ @AndréNicolas means that your tangent line is not well-defined: there are infinitely many of them, and only one is parallel to the third side. Also, you would do better to use a diagram with a triangle that is not equilateral. $\endgroup$ – Rory Daulton Aug 23 '15 at 12:24

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