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PS: Circle intersects triangle

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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PS: Circle intersects triangle

by haidgmat » Thu Nov 25, 2010 3:39 pm
Which of the following lists the number of points at which a circle can intersect a triangle?

1. 2 and 6 only
2. 2, 4 and 6 only
3. 1, 2, 3, and 6 only
4. 1,2,3,4 and 6 only
5. 1,2,3,4,5, and 6

[spoiler]OA:E[/spoiler]
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by Laura GMAT Tutor » Thu Nov 25, 2010 7:53 pm
Sometimes a picture is worth a thousand words...

Or six thousand words! :)

The moral of the story on this one is don't stay locked into one way of thinking. Try new things!

Image
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by beat_gmat_09 » Thu Nov 25, 2010 7:59 pm
Laura GMAT Tutor wrote:Sometimes a picture is worth a thousand words...

Or six thousand words! :)

The moral of the story on this one is don't stay locked into one way of thinking. Try new things!

Image
Great work !
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by haidgmat » Fri Nov 26, 2010 6:37 am
Laura, thanks for the figures. However, doesn't Intersect mean to cut across? I got the 2,4 and 6 part but can't figure out how a triangle can intersect a circle at 1, 3 or 5 points. It seems that in your diagrams the triangle is just touching the circle and not intersecting it. Please explain.
Laura GMAT Tutor wrote:Sometimes a picture is worth a thousand words...

Or six thousand words! :)

The moral of the story on this one is don't stay locked into one way of thinking. Try new things!

Image
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by Laura GMAT Tutor » Fri Nov 26, 2010 10:31 am
Intersect doesn't have to mean 'cut through.' :)

Simple fix!
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