MHB Angles & Diagonals of a Pentagon: Explained

  • Thread starter Thread starter highmath
  • Start date Start date
  • Tags Tags
    Reading
Click For Summary
The discussion clarifies the relationship between the angles and diagonals of a pentagon, stating that there are five distinct interior angles and five distinct diagonals, resulting in a 1:1 ratio. This relationship is unique to pentagons, as not all polygons exhibit the same ratio. Participants seek visual aids, like colored diagrams or labeled illustrations, to better understand the concept of distinct diagonals. The diagonals are described as the lines that connect non-adjacent vertices, forming a star shape within the pentagon. Visual representation is emphasized as a helpful tool for comprehension.
highmath
Messages
35
Reaction score
0
Can somebody simply this sentence:
there are relationships among the angles of a pentagon and its diagonals. For example, the ratio of distinct interior angles to distinct diagonals is exactly 1 : 2.
?
Can somebody explain it in simple words, please...
 
Mathematics news on Phys.org
The correct text is:
there are relationships among the angles of a pentagon and its diagonals. For example, the ratio of distinct interior angles to distinct diagonals is exactly 1 : 1.
?
Can somebody explain it to me?
 
What they are saying is the the number of distinct interior angles and the number of distinct diagonals is the same:

4-simplex_t0.svg


There are 5 of each, and so for each interior angle there is a distinct diagonal (this is not true for all polygons, only pentagons).
 
What is distinct diagonals?
Can you color them in the picture or put letters or ect...
So I see it.
 
highmath said:
What is distinct diagonals?
Can you color them in the picture or put letters or ect...
So I see it.

The diagonals are the lines within the pentagon, making the "star" within.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Find the angle X inside a pentagon with a square
  • · Replies 4 ·
Replies
4
Views
4K
MHB Finding a particular angle withion Johnson Solid J2
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Is e^pi a unique transcendental, or perhaps not transcendental?
  • · Replies 1 ·
Replies
1
Views
2K
High School Einstein thought experiment confusion: “light clock in a moving frame”
  • · Replies 5 ·
Replies
5
Views
2K
Do Quadrilateral Diagonals Always Remain Inside or Outside?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate How Does Non-Euclidean Geometry Differ from Euclid's Postulates?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How Does U(1) Double-Cover SO(2) for a Specified Angle?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Trigonometric Ratios: Explaining Angle $\theta$
  • · Replies 7 ·
Replies
7
Views
2K
Graduate How Does MWI explain Type I PDC Photon Polarization Entanglement?
  • · Replies 19 ·
Replies
19
Views
587
What are the properties of parallelograms regarding diagonals?
  • · Replies 4 ·
Replies
4
Views
21K