A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Prove the following theorem indirectly. We will give you a start.
Prove that a triangle cannot have two right angles.
A triangle cannot have two right angles. Suppose a triangle had two right angles.
anonymous
 4 years ago
Prove the following theorem indirectly. We will give you a start. Prove that a triangle cannot have two right angles. A triangle cannot have two right angles. Suppose a triangle had two right angles.

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0if a triangle will have two right angles then the two sides of the triangle will be parallel to each other And if two sides of a triangle will be parallel to each other than it will not be a triangle.dw:1342801549724:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you very much that helped a lot :)

across
 4 years ago
Best ResponseYou've already chosen the best response.2I'm sorry to hijack your question, but this exercise brings up an interesting case study: Given the following isosceles triangle, dw:1342801703803:dw what is the limit of \(\theta\) as \(a\to\infty\)?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I still really don't know what it means, I need a statement to make a theorem indirect and that is how the question was stated, it is really confusing to me x)

across
 4 years ago
Best ResponseYou've already chosen the best response.2Simplifying the problem,dw:1342802092805:dwwe are left to compute\[\theta=\cos^{1}\left(\lim_{a\to\infty}\frac{b}{a}\right)=90.\]The question is, however, is this still a triangle?

across
 4 years ago
Best ResponseYou've already chosen the best response.2What if we also observe this in a nonEuclidean setting? Say, a sphere?dw:1342802292429:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thank you I was looking for a contradiction :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@ParthKohli the angles of a triangle do not add up to 180 degrees in a spherical geometry!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Think about it this way dw:1342802984980:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I think it add up to 180 degree because u can draw a triangle in a plane paper and roll it to make a cylinder which surface has a triangle.

across
 4 years ago
Best ResponseYou've already chosen the best response.2@sauravshakya, not without deformations.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Actually I think you may need that third the angle < 180\(^o\) in spherical geometry. @across is correct, you have to have the paper stretch or tear to make it work. And it's got wrinkles everywhere.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.