My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
July 13th, 2013, 08:20 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?
Correia is offline  
 
July 14th, 2013, 06:06 AM   #2
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,885
Thanks: 1088

Math Focus: Elementary mathematics and beyond
Re: About Triangles in Cones

How many such triangles may be constructed?
greg1313 is offline  
July 14th, 2013, 09:13 AM   #3
Math Team
 
Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
Thanks: 407

Re: About Triangles in Cones

Hello, Correia!

Quote:
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?

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) . . . ???

soroban is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
cones, triangles



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Triangles Dacu Algebra 0 May 26th, 2013 12:28 AM
intersection of two cones white_flag Algebra 2 July 30th, 2012 07:46 AM
30-60-90 Triangles? Recipe Algebra 9 March 13th, 2010 09:19 AM
equation of intersaction of two cones PackElend Algebra 0 May 8th, 2009 06:21 AM
Polynomials and Cones AdamL12 Abstract Algebra 9 November 15th, 2007 02:44 PM





Copyright © 2018 My Math Forum. All rights reserved.