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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!!
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Can a equilateral triangle be a right triangle?
No
Is it possible to sketch a right equilateral triangle?
No. In an equilateral triangle, all three angles are the same. Since they are not ninety degrees, you can't have a right triangle that is also an equilateral triangle.
Can an right angle triangle also be an equilateral?
no. an equilateral triangle is also equiangular, so the angles are 60 degrees each. a right triangle cannot be equilateral
Is a right triangle an equilateral scalene or isosceles triangle?
It can be scalene or isosceles but not equilateral.
Can a triangle be right and equilateral?
no
