Triangle

This topic has expert replies
Source: — Data Sufficiency |

User avatar
Legendary Member
Posts: 682
Joined: Fri Jan 16, 2009 2:40 am
Thanked: 32 times
Followed by:1 members

Re: Triangle

by Vemuri » Tue Jun 16, 2009 8:17 am
gmat740 wrote:Please explain
I am also interested in knowing how the odd number of intersections are possible.

Legendary Member
Posts: 876
Joined: Thu Apr 10, 2008 8:14 am
Thanked: 13 times

by ketkoag » Tue Jun 16, 2009 9:08 am
draw a circle that is tangent to one side and intersect 2 sides twice.
sorry, ignore this one.. :oops:
Last edited by ketkoag on Tue Jun 16, 2009 9:13 am, edited 1 time in total.

Legendary Member
Posts: 876
Joined: Thu Apr 10, 2008 8:14 am
Thanked: 13 times

by ketkoag » Tue Jun 16, 2009 9:08 am
draw a circle that is tangent to one side and intersect 2 sides twice.
u'll get all possible numbers.. 1, 2, 3, 4, 5, 6 all of them are possible.
lemme attach an image..
Attachments
Untitled.jpg

Master | Next Rank: 500 Posts
Posts: 179
Joined: Mon Dec 29, 2008 4:41 am
Thanked: 2 times

by abhinav85 » Tue Jun 16, 2009 9:26 am
hey ketkoag

Can u mark the points in the picture where the traingle intersect the circle??

It seems 1 2 3 4 5 to me where is the 6th one??

User avatar
Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Thu Apr 02, 2009 10:27 am

by lyp206 » Tue Jun 16, 2009 10:13 am
abhinav85 wrote:hey ketkoag

Can u mark the points in the picture where the traingle intersect the circle??

It seems 1 2 3 4 5 to me where is the 6th one??

If you have a triangle that's bigger than a circle and overlapping the circle then the triangle intersects the circle twice near each of its points.

Legendary Member
Posts: 752
Joined: Sun May 17, 2009 11:04 pm
Location: Tokyo
Thanked: 81 times
GMAT Score:680

by tohellandback » Tue Jun 16, 2009 8:03 pm
IMO E) 1,2,3,4,5,6
1-when th one of the sides act as a tangent
2-when one of the sides act a a chord
3- when circle is inscribed in a triangle touching all the sides
4-when two sides of the triangle pass through the circle both intersecting at two points and third side lies outside the circle
5- when two sides pass through the circle and the third side is a tangent
6- when a small circle overlaps a bigger circle intersecting all the sides at three points
The powers of two are bloody impolite!!