Does a triangle, integer sides, none parallel to axes, and with integer vertices exist?

A triangle can be oriented with respect to the axes in any manner !

Triangles do NOT have integer vertices ! Vertices mark the angles of a triangle.

Your language needs work.

QED

Yes.

The triangle with vertices (0, 0), (3, 4), (21, -20) has sides 5, 29, 30 and area 72.
The triangle with vertices (0, 0), (9, 12), (16, -12) has sides 15, 20, 25 and area 150.

The second is a right triangle, the first is not.

in order for pythagorean theorem to be necessary, a triangle must have a right angle..and integer is simply a natural number. Is this a trick question? If not, then its a miracle i passed geometry with a 97%. Can you please message me and explain the solution to me? Haha, this is gonna keep me up all day trying to figure it out!

Yessssssssssssssssss

Of course originally, you ought to adopt any diverse sides

Just find a triangle with the Pythagorean Theorem with 3 sides. Each side is in a different triangle with Pythagorean Theorem than to the original one.