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What shape has 4 sides and all angles equal?
Presuming our geometry is Euclidean, such a shape would be a rectangle, since all 4 angles would be right angles. If our geometry is hyperbolic, it would be possible to construct such a quadrilateral which is not a rectangle (and in fact, rectangles cannot exist in a hyperbolic geometry). I do not believe such a quadrilateral has any special name.
Can a right triangle can be an equilateral triangle?
Short Answer: no Long Answer: Most people consider Euclidean Geometry when taking about standard shapes such as triangles and squares. In Euclidean Geometry: all equilateral triangles have angles of 60°. Therefore an equilateral triangle doesn't have a right angle. However, in Non-Euclidean Geometry (Elliptic Geometry) a triangle can have all angles at 90°. Consider going for a walk at the North Pole. Start going South (all directions are South), then turn at a right angle (90°) to go East, then turn again at a right angle (90°) to go North and you would end up at your starting point (assuming the distance travelled in each direction is the same). The 'triangle' you made would have 3 right angles!!
What is a triangle with angles that are 60 degrees?
That would be an equilateral triangle.
Are two equiareal right-angled triangles always congruent?
An equilateral right-angled triangle is an impossibility in plane geometry as it would need to have internal angles totalling 270 degrees.
What is a triangle with angles of 60 degrees and 30 degrees?
The third angle has to be 90 degrees so it would be a right angle triangle.
