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Isosceles triangle
If you make one side the base the opposite vertex is the apex, so there are three possible apices.
You can do it only of the triangle is right angled and if one of its legs is the same length as the side of the square. In that case, let that side of the triangle abut a side of the square.
Other than the diagonal side of the right triangle, the other two sides make a perpendicular right angle triangle. The right angle is 90 degrees
Oh, dude, you're throwing some shapes at me! So, like, to make a triangle, the sum of the angles has to be 180 degrees. If you add up 40, 60, and 80, you get 180, so yeah, those angles totally make a triangle. Math can be a real mind-bender, man!