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Number of points at which circle can intersect triangle?

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by Night reader » Mon Dec 13, 2010 10:35 pm
Woozler wrote:The answer is 1, 2, 3, 4, 5, 6

How can a circle intersect a triangle at one point?
IMO tangent, line segment that forms triangle is a tangent to the circle. The point at which tangent touches the circle is the common point of triangle and circle.
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by frank1 » Tue Dec 14, 2010 12:43 am
Woozler wrote:The answer is 1, 2, 3, 4, 5, 6

How can a circle intersect a triangle at one point?
6
see this
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by Woozler » Tue Dec 14, 2010 9:57 am
A tangent line does not INTERSECT, it touches. Or am I getting it wrong?

frank1: that's 6 points of intersection. I wonder about 1 and 3 points.
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by ov25 » Tue Dec 14, 2010 10:12 am
technically there is no difference between touching and intersection in this case. So a tangent surely is a case where there is only a single-point contact

3 would be a situation where in the circle with diameter less than the perpendicular distance between the top point of the triangle to its base, and the triangle are hung on the same point as the top of the triangle.

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by frank1 » Tue Dec 14, 2010 11:38 pm
Woozler wrote:A tangent line does not INTERSECT, it touches. Or am I getting it wrong?

frank1: that's 6 points of intersection. I wonder about 1 and 3 points.
sorry i was going by question in your post title
Number of points at which circle can intersect triangle?

any way i think i have seen this question somewhere....

can be post the original question?

thanks
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