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July 13th, 2013, 07:20 PM  #1 
Newbie Joined: Jul 2013 Posts: 1 Thanks: 0  About Triangles in Cones
Consider all triangles which are on the plane of the axis of a cone, have the apex of the cone as one of their vertices, and the diameter of the base as their bases. Do they have equal areas, are somehow related, or share any interesting properties? If so, could you show me the proof?

July 14th, 2013, 05:06 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,923 Thanks: 1123 Math Focus: Elementary mathematics and beyond  Re: About Triangles in Cones
How many such triangles may be constructed?

July 14th, 2013, 08:13 AM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: About Triangles in Cones Hello, Correia! Quote:
If It is a right circular cone, all the triangles are congruent. If it is an oblique circular cone, all the triangles have equal areas. If it is an elliptic cone (right or oblique) . . . ???  

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