Question

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.

Answer 1

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.

Answer 2

Thank you very much that helped a lot :)

Answer 3

I'm sorry to hijack your question, but this exercise brings up an interesting case study:

Given the following isosceles triangle,



what is the limit of \(\theta\) as \(a\to\infty\)?