anonymous
  • anonymous
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.
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
if 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
  • anonymous
Thank you very much that helped a lot :)
across
  • across
I'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 \(a\to\infty\)?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
I 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)
anonymous
  • anonymous
its 90 degree
across
  • across
Simplifying the problem,|dw:1342802092805:dw|we 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
  • across
across
  • across
What if we also observe this in a non-Euclidean setting? Say, a sphere?|dw:1342802292429:dw|
anonymous
  • anonymous
Thank you I was looking for a contradiction :)
anonymous
  • anonymous
@ParthKohli the angles of a triangle do not add up to 180 degrees in a spherical geometry!
anonymous
  • anonymous
Think about it this way |dw:1342802984980:dw|
anonymous
  • anonymous
Am I making sense?
anonymous
  • anonymous
I 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
  • across
@sauravshakya, not without deformations.
anonymous
  • anonymous
Actually 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.

Looking for something else?

Not the answer you are looking for? Search for more explanations.