# I What is the maximum triangle?

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1. Jun 24, 2017

### Quantum Velocity

I know that if a triangle have it edge // to each orther then it í the maximum triangle.

Pls explain i dont understand hơ thí even possible

2. Jun 24, 2017

### Ricky Lalduhzuala

i wanna ask question but where should i enter
??

3. Jun 24, 2017

### Quantum Velocity

well go on tho the category you want to ask and click the

<Moderator's note: Link removed, for it otherwise would have led to General Physics only.>

Last edited by a moderator: Jun 24, 2017
4. Jun 24, 2017

### Staff: Mentor

With parallel sides, it isn't a triangle anymore. Except you're not using Euclidean geometry. So a) where are the triangles defined on, and b) what does "maximal" mean: circumference, area, one angle, a side?

5. Jun 24, 2017

### Quantum Velocity

it's some type of geometry that i dont remember the name

6. Jun 24, 2017

### Quantum Velocity

it's called Lobachevshy-Bolyai geometry

7. Jun 24, 2017

### Quantum Velocity

or sometime called Hyperbolic geometry

8. Jun 24, 2017

### Staff: Mentor

You simply apply the hyperbolic axiom:

For any given line R and point P not on R, in the plane containing both line R and point P
there are at least two distinct lines through P that do not intersect R.

This is a given fact. So with two points on R, and a point P, not on R, we have three different points which define a triangle. And the two lines through P with the line R are parallel and the sides of the triangle. (Not quite sure about the sides.)

What maximal means, still depends on your measure.