• Support PF! Buy your school textbooks, materials and every day products Here!

Proofing A Geometric Statement

  • Thread starter Bashyboy
  • Start date
  • #1
1,421
5
I've attached a picture that pertains to the query that I have. I have been able to show that each angle B is 60 degrees, but I am unsure as to how to show a is also a 60 degree angle. Isn't there some geometric theorem I could use?
 

Attachments

Answers and Replies

  • #2
662
307
Well, the sum of angles in a triangle.
 
  • #3
1,421
5
Well, I am first trying to prove that each object in the hexagon is a triangle. So, I can't use that fact.
 
  • #4
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,798
1,666
If the figure is closed and it's got three sides, it's a triangle. There's your proof.
 
  • #5
1,421
5
All right, so I know that each angle is equivalent to each other, when you consider one single triangle. Is this sufficient to show that it must be a equilateral triangle, or must I also so that each side has the same length?
 
  • #6
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
12,798
1,666
If you know that two interior angles of a triangle are both 60 degrees, then you can determine the third angle.

If all interior angles are the same, IPSO FATSO, it's an equilateral triangle.
 
  • #7
Ray Vickson
Science Advisor
Homework Helper
Dearly Missed
10,706
1,728
All right, so I know that each angle is equivalent to each other, when you consider one single triangle. Is this sufficient to show that it must be a equilateral triangle, or must I also so that each side has the same length?
What material have you studied so far? All the properties you need are standard, elementary geometry (but, unfortunately, sometimes that is not taught any more).
 

Related Threads on Proofing A Geometric Statement

  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
6
Views
596
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
3
Views
7K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
0
Views
5K
  • Last Post
Replies
1
Views
901
Top