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# How many triangles can be drawn in a Hexagon such that no

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Senior Manager
Joined: 21 Aug 2003
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How many triangles can be drawn in a Hexagon such that no [#permalink]  26 Sep 2003, 20:35
How many triangles can be drawn in a Hexagon such that no side of triangle coincides with that of hexagon.
SVP
Joined: 03 Feb 2003
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2, using the initial vertices only.
CEO
Joined: 15 Aug 2003
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stolyar wrote:
2, using the initial vertices only.

Nowhere is it mentioned that the triangles have to be drawn using vertices only..also the question does not mention what type of triangles...

if thats indeed what the question means, i would say infinite triangles.
SVP
Joined: 03 Feb 2003
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I tried to say the same; 2 is simply the most logical answer here (IMO).
Senior Manager
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my mistake: i should have mentioned triangles with vertices same as that of hexagon. But once this is mentioned i dont think it really matters what type of triangle. One can draw only 2 such triangles.
thanks
CEO
Joined: 15 Aug 2003
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Vicky wrote:
my mistake: i should have mentioned triangles with vertices same as that of hexagon. But once this is mentioned i dont think it really matters what type of triangle. One can draw only 2 such triangles.
thanks

how are you getting two triangles..

Senior Manager
Joined: 21 Aug 2003
Posts: 258
Location: Bangalore
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Just draw a hexagon and try to draw triangles such that only no sides are coincident. U can get only two triangles connecting (1,3,5) & (2,4,6) vertices.
right..?
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