can any three lines intersect to form a triangle?

Question

If YOU WERE TO DRAW 3 LINES RANDOMLY, WOULD THEY FORM A TRIANGLE?

Also, why?

Answer 1

I assume you are talking about drawing on an infinite plane and that these are infinite lines.

As long as none of them are parallel (or the same line) *and* as long as they don't all 3 intersect at a common point. If they do intersect at a common point (see picture), they *would not* form a triangle. Same thing with parallel lines.

Answer 2

Yes, if you were to draw them on a piece of paper, they'd be in the same plane. If they're not in the same plane, you might never get a triangle. Also, none of the lines can be parallel; they must intersect. Keep in mind, a line keeps going -- that's why we put arrows on the ends of it.

that's it! :)

Answer 3

take the three line segments and label them as a, b, and c... now plug them into the equation: perspective C = cos^-a million*(a^2 + b^2 - c^2)/(2*a*b) this provides you with an perspective do the comparable element for all the factors perspective B = cos^-a million*(a^2 + c^2 - b^2)/(2*a*c) perspective A = cos^-a million*(b^2 + c^2 - a^2)/(2*b*c) if all the angles upload as much as one hundred eighty ranges, then the segments make a triangle...in the event that they do no longer, or your solutions to any of those equations does not paintings, then that isn't any longer a triangle

Answer 4

Three coplanar lines always form a triangle unless they are parallel (any two or all three) or concurrent (all three meeting at the same point).

Answer 5

Yes, unless two or more of them were parallel to each other. AND this also assumes the lines are restricted to a Euclidian plane.

Answer 6

Yes, unless two or more of them were parallel to each other.