How Can You Prove <)APB+<)CPD=180' in a Base-Quadrilateral Pyramid?

  • Context: Undergrad 
  • Thread starter Thread starter menager31
  • Start date Start date
  • Tags Tags
    Pyramid Sphere Tangent
Click For Summary

Discussion Overview

The discussion revolves around proving the geometric relationship <)APB + <)CPD = 180° in the context of a base-quadrilateral pyramid ABCDS, where the base is quadrilateral ABCD and point P is the tangential point of the inscribed sphere on the wall ABCD. The scope includes geometric reasoning and proof techniques.

Discussion Character

  • Exploratory, Debate/contested, Homework-related

Main Points Raised

  • One participant presents the problem and expresses difficulty in starting the proof.
  • Another participant suggests seeking assistance on a different website related to mathematics competitions.
  • A third participant comments on the relevance of the original poster's threads to mathematics olympiad problems.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on how to approach the proof, and multiple perspectives on the relevance of the original poster's inquiries are presented.

Contextual Notes

Participants do not provide specific geometric definitions or assumptions that may be necessary for the proof, nor do they clarify the conditions under which the relationship holds.

Who May Find This Useful

Individuals interested in geometric proofs, particularly in the context of competitive mathematics or geometry enthusiasts.

menager31
Messages
53
Reaction score
0
There is a base-quadrilateraled pyramid ABCDS , which base is quadrilateral ABCD. Inscribed sphere is tangent in point P on the ABCD wall. Proof that

<)APB+<)CPD=180'


I don't like geometry and i really don't know how to start.
 
Mathematics news on Phys.org
I guess you are participating both Physics and Mathematics Polish Olympiad... Try to ask this question on the website www.matematyka.org
 
no I'm not
 
That's interesting, because only about 2-3 of your threads are not connected to problems given to solve on the first levels of those olympiads...
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
6K
  • · Replies 1 ·
Replies
1
Views
7K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
Replies
7
Views
4K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 2 ·
Replies
2
Views
8K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K